[img]data:image/png;base64,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[/img][br][br][size=150]Here are graphs representing the functions [math]f[/math] and [math]g[/math], given by [math]f\left(x\right)=x\left(x+6\right)[/math] and [math]g\left(x\right)=x\left(x+6\right)+4[/math].[/size][br][br]Which graph represents each function? Explain how you know.[br]
Where does the graph of [math]f[/math] meet the [math]x[/math]-axis? Explain how you know.[br]
[size=150]How would you change the equation [math]y=x^2[/math] so that the vertex of the graph of the new equation is located at the following coordinates and the graph opens as described?[/size][br][br][math](0,11)[/math], opens up
[math](7,11)[/math], opens up
[math](7,\text{-}3)[/math], opens down
[size=150]Kiran graphed the equation [math]y=x^2+1[/math] and noticed that the vertex is at [math]\left(0,1\right)[/math]. He changed the equation to [math]y=\left(x-3\right)^2+1[/math] and saw that the graph shifted 3 units to the right and the vertex is now at [math]\left(3,1\right)[/math].[br][br]Next, he graphed the equation [math]y=x^2+2x+1[/math], observed that the vertex is at [math]\left(-1,0\right)[/math]. Kiran thought, “If I change the squared term [math]x^2[/math] to [math]\left(x-5\right)^2[/math], the graph will move 5 units to the right and the vertex will be at [math]\left(4,0\right)[/math].”[/size][br][br]Do you agree with Kiran? Explain or show your reasoning.
[size=150]Mai is learning to create computer animation by programming. In one part of her animation, she uses a quadratic function to show the path of the main character, an animated peanut, jumping over a wall.[br][br]Mai uses the equation [math]y=-0.1\left(x-h\right)^2+k[/math] to represent the path of the jump. [math]y[/math] represents the height of the peanut as a function of the horizontal distance it travels [math]x[/math]. On the screen, the base of the wall is located at [math]\left(22,0\right)[/math], with the top of the wall at [math]\left(22,4.5\right)[/math].[/size][br][size=150][br]The dashed curve in the picture shows the graph of one equation Mai tried, where the peanut fails to make it over the wall.[/size][br][br][img]data:image/png;base64,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[/img][br][br]What are the values of [math]k[/math] and [math]h[/math] in this equation?[br]
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/Di1wdUP7++6RDe2XwIs9IK1Dj4NKcMG/KqkF5UjV1Ha1TfkcjLG1pR09yGJv6+28VU4ts1awfh2sm4q99cf3CStF0jIMTbNUZBp1CkqvVJ/RB08EFtUQ8INZo9pQ3q4SGxJmTm450th/CfNTkYvTwbty7eioHz0nHDnGT0nZ2EG+akon9iGgbOTcHguWkYnJiCwQmpGLZgK0YszMTNC7bi5ve32t10x/3QeWkYnJCEwYnpGJCYjAGJqeiXkKrK7D83Df3nJmHYom24c2kWxq3ag9e/2Yfpabn4MLsIGw9VY+eROhyorEdZXSPKKmtx8SWXoX/fPhh93z0YcctNuOeeezB9+kwUFxYpzGjfPf7445GYmNgJQ2rBF198sdKKO0XaA6gxb9u2DUlJSUhNTVXmivT0dDz66KOKeEnAvKfJgvFMt2vXLk/FBRHufBdoRxta2qFIjW8bxGNnWSPWHazEkp0lmJqaj1fW78fDn+3Ancu248aF6eg/jzgn4YaEFOUOmJuKAQlbVJ+x74bOS8VwY385/OzDdAx7PwODE9IweG4KBs5JVv1+w5wU9EtMQ9/ZKaB/0LxU3PrhDoxZsR3PfHUAE7ccRGJWIT7fdxRpJTXYfbQeBVVNqGxoUW84mnhtY9MAjT1Ak7QhRrwhRECIN4RgdlUUXw2pjeSU1SstiA/qpM0H8dSavbj1owwMnJuBfonJ6DcnBQNmbQGJ8ub/ZeHeT3dj/Bc5eGHDfryxKRezMvLxwfZirNhThnW5FUgrrEJKURX2Hm3AwaomHKxqQF6lzZ9Xabs/UNmIjOIqpBTWYHNBBT7bW45lu0uQkHkYk5IPKy34yS/24v6VOzBySSaGLczAoNmp6J/Ah5tEn4Th/8vEA8uz8fqmg0jIOITRb87E6Gdfx9sz5uGNd6Zi7P0P4JRTTsFTTz2lTAMkXtp3uYpBP+gao9GjR+O8884DTQn+XCxn8uTJinjnzp3rT9ag0pKwiOmOI3VKe52XWYDXNuzHmOW7cNOiNPRPSEEfkuCsZAxOTMWw+ekYuWQbxq7KxpNr9uGVrw+qt4y52w7j491lCv/kw7VqHGQUVas+s/Wbrb90H7L/9pY1IPVwJdIOV6r+Zr8v2l6EmRkFeH1zLp5bvxfjv9iLUZ/uxM3/24ahJHbKMjsZ/RJTMYSyLN2KJ9bkqLekj3aXqnr5ZlNcW49Gu3XG2Uf+m1KCArcbZhbijVCnc1BvLqjEM1/m4I5l25SGQg2238xkDJ2fhjuW7sC41Tl45Zs8JG47jNUHjiLzSA1yK+tQWt+EutZ2qFddF3ltk1rOB8Y+i6O0FvuEl1Jd7OHMq18tVZDTdMCo5jagsr4F+dWN2FVWh42HyvFBdjHe2pKLf6/Zj399mo2bFmZh4OwtuGFWCoYsysLIZbvw5LqD+F/OUdAmPX78ePziF7/AoUOHUF5eiRNOOAFz5sxxkZo3gwcPxhVXXOFV4+2UyR7gbnLNBQNPGQMMb2jpwPT0fPXazx+kgfNT0HdmMgbyx2jRVty3PBtPrNmLt5Py8GF2CTblV2B3OTXMRlQ0tyhcaaJRMmrrBF12qF3DVC7t/rq/TLI6+l71n00D10lZTl1TK0pqm7CvvBZbi2vx+b5SzMk8rMwZD362U/0IDElMQb9ZJGSScSpuX5qF59bmqPS6unDiqOsQFxDijeAo4IMwYFYK/rk4Ew9/vlu9DtK0kFlUrWyCnDhzXPqBJEE6njoda3uIGe6Ms+U1JtVFGB9QlqDDdWmdA2wxzrJtE3ulDS3K3LA+txIz0wsU2dz98XZl6iD5tKEDX325Bt///veRlZWltF4uHXvuueccVdFDLffyyy/HHXfc4RLu64074mVeLa92fS2vq3TVTW0Y+dE23Dg/HaM+2Yn/rN2n3hQ25lUq+zvt8Rr3TtgqwWw1mOUyptV+uvrPVS57/+pVLZq4XRO5veObFidZaQfmW85byXl48LNs3LZkuxqPS7KP2AV0m10Cw4CAEG8YQPVUZGFts3pV5CtrY6dX7HaHNmp+QHV5+uHU99r1lF7H6wkx3ncqw6B0OdN37ePqAa4yKGtoVg90VlGtWlEwc+ZMZdfdv3+/moi7++67cd1119km3ezFchKOmvD06dO7rshNCk/Eq5N2jYdO2bVLvKhkJhdWIqOoRk16eszVCVxbSld5DD+upoLcZmegPUI5nvrLbWZTBfq2g2837ThQWYe1B8tRWt/gqMORRP+S6ABxQ4qAEG9I4ew+hdGUsGLFCnBX2oEDB7B3716sX78el156KW677TbH5oi1a9fitNNOU+YGpmH6J598EmeeeaZaqRAIYl0RbyBlSh5BIJIICPFGEu04qourCGguIMmOGTMGd911l1oiNmTIEOzZs8fRUq6t5eqDiy66SO1aGzlyJC644ALMmDHDkcZfjxCvv4hJeqshIMRrtR6xsDz6lZkut/tSm3399dfVKoZnn30WixcvBg/D0enYFPpJvitXrnSc67Bx40a/VzMYYRHiNaIh/lhEQIg3FnvNgjIbybYr8fxJ664sIV53qEhYLCEgxBtLvRUjspJYgyVXb00V4vWGjsTFAgJCvLHQSxaS0ROhegr3JLq/6Y3lCPEa0RB/LCIgxBuLvRaDMpNogyFbY5OFeI1oiD8WERDijcVei4LMoSJNLXow5QnxahTFjVUEhHhjtee6sdxCvN248+Ok6UK8cdKR3akZQrzdqbfjs61CvPHZr3HdKiHeuO7ebtE4Id5u0c3x1Ugh3vjqz+7YGiHe7tjrMd5mId4Y70ARX46FlDEQewgI8cZen4nErgiIxuuKh9zFAAJCvDHQSSKiVwSEeL3CI5FWRECI14q9IjL5g4AQrz9oSVqvCPiyKcKXNF4rASDE2xVCEm91BIR4rd5DMShfKMjVW7OFeL2hI3GxgIAQbyz0ksjogoAQrwscchODCAjxxmCnWV1kTxovw/VfMG0Q4g0GPclrBQSEeK3QC3EggzeyDXXzhHhDjaiUF2kEhHgjjXg3r88TQfsDixCvP2hJWisiIMRrxV4RmbwiIMTrFR6JjAEEhHhjoJNiRcTy8nL1yfbW1lYXkdva2nDkyBHk5ORg37596oOYLgn8vBHi9RMwSW45BIR4Ldcl1hPIF/MAifWee+7BVVddhYKCAsfXJkjC8+bNw4gRI1Q8PwPPdMnJyQE3VIg3YOgko0UQEOK1SEfEshgk11dffRVnn302jj/+eKXV6vZs2bJFhY8dOxaffvopPvzwQ9x4443o378/jh49qpP55Qrx+gWXJLYgAkK8FuwUq4rkSfP94osvcNlll+HZZ5/F6aefjr1796omMP1DDz2Ec845B4WFhY5mkYx79uyJTz75xBHWlcdYtybexMTErrJJvCBgSQSEeC3ZLbEjVF5eHvr06YP//ve/2LRpE0499VSHxtvY2Ijzzz9fka8mTrpNTU244IIL8PDDD3ttKNNSK6YZo7S0VP2VlZUp7bpHjx6YPHmyitdxTFdRUeG1TIkUBKyAgBCvFXohxmQgIWoCfeyxxzBo0CBFjqmpqTjllFPUJBqbRJI86aSTMGXKFNVC5tEXTQ0kbGOYjtMuJ+UyMjIUoVNL3rx5M1JSUvDggw+CxPvUU0+pe4bzj8SfmZnptUxdtriCQDQREOKNJvoxXveSJUtw8cUX4+uvv1YtSUpKUsSrTQ3FxcXK5jt//nwHGWqi5STbhRdeiPb2do8oMI4aNVdCsEz+7d+/H88995wi3jfeeEPd6ziumjBO7HksWCIEgSgjIMQb5Q6Ileo1YWp5s7Ozce2116rXfWqmvNLS0pSp4cCBA+q+qKhIES9XNRgvlnXnnXfir3/9K3ReY3xXfpoYjjnmGMydO9dB6DqPWU4dLq4gYCUEhHit1BsxIktLSwtGjx6N3/zmN2qp2LJly7B06VJQAz322GMxbdo0bNiwAZWVlTjttNMUOZub1q9fP/Tu3bsTcZrTubvXk2sJCQnuoiVMELA8AkK8lu8i6wlYX1+v7LpXX3210lxHjhyJ22+/Hddffz1++MMfqrgXXngBJGiudiBJG6+Ghga10uHRRx81BvvsF+L1GSpJaFEEhHgt2jFWFqu5uRnr1q1T63I//vhj8I9LwyZMmIDjjjsOU6dOxfr161UTXnrpJbWOV9t9aQrg8rOf//znWLlyZUDNFOINCDbJZCEEhHgt1BlWFMWTzdRdOHejcVUDJ8D0xQmvK6+8UmnGixYtAtfecjXD4MGD1aoHnc4fV4jXH7QkrRUREOK1Yq9YSCZ3BOsujCJTq73vvvvASTV9cWXCl19+ibvvvlv90SRx//33g0vPAr2EeANFTvJZBQEhXqv0RAzIYSZc831dXZ0iX26QMF5MxyVha9asUSaIQ4cOGaP99gvx+g2ZZLAYAkK8FusQq4pjJtloyinEG030pe5QICDEGwoU47yMUJBuKMrQMAvxaiTEjVUEhHhjtediVO5QELAQb4x2vojtQECI1wGFeGIFASHeWOkpkdMTAkK8npCRcMsiIMRr2a4RwXxEQIjXR6AkmXUQEOK1Tl+IJIEhIMQbGG6SK4oICPFGEXypOiQICPGGBEYpJJIICPFGEm2pKxwICPGGA1UpM6wICPGGFV4pPAIICPFGAGSpIrQICPGGFk8pLfIICPFGHnOpMUgEhHiDBFCyRx0BId6od4EI4C8CQrz+IibprYaAEK/VekTk6RIBId4uIZIEFkdAiNfiHSTidUZAiLczJhISWwgI8cZWf4m0AIR4ZRjEOgJCvLHeg91QfiHebtjpcdZkId4469Du0Bwh3u7Qy/HdRiHe+O7fuGydEG9cdmu3apQQb7fq7vhorBBvfPRjd26FEG937v0A2x7IYeahzKOJl18s5hVI2QE2XbIJAiFBQIg3JDDGbyHeSI1fE16/fj0WLFiAhIQErFixAu4+ZFlbW4u1a9eqNAsXLsTWrVvBrw8Hek2aNAk9evRQ5QVahuQTBKKJgBBvNNGPsbqNJJyXl4fHHnsMd9xxh+Nv+PDhGDVqFHJychwta2howNtvv42BAwdi5MiRuO2223DzzTdj9erVPpGvsU5dqCbeOXPm6CBxBYGYQkCIN6a6K/rCaiLcs2cPxo0bh7lz5+Krr77Chg0blP+0007DU0895Xj9p6b729/+Fs8++yzWrVuHVatW4fbbb8fll1+OgoICRzp3LWNduj7Ga782NbgjXp3GXXkSJghYBQEhXqv0RAzIYSS1pqYmFBYWOshQi9+7d29cdtllKpzp7733Xlx88cUoLy/XSZCVlYXjjjsOixYtcoT545k8ebIyNWgbrzmvUU5znNwLAlZAQIjXCr0QJzIcOXIEf//733HLLbeoFtHMcM455+CJJ55wIeiWlhZceOGFuP/++13CzTDQDlxWVoaSkhKwbLqlpaV45ZVXFPFS8+U9w/Uf7/UlBKyRENdqCAjxWq1HYkgeEhu1V06w0YTw8ssv4+qrr1amBzaDJHjSSSdhxowZnVo1ePBg9OrVq1O4MYDEu23bNmRkZCAzM1P97dixQ9mWObn2/PPPq3gdl56ejp07d3olc2P54hcEooWAEG+0kI+Dekm8r732mppcGzBgAM4880yMGTNGES6bx1UPxx9/PN5///1Orb3nnntw/vnno62trVOcDmD5xcXFyqRBs8bhw4fV/UsvvaQ03okTJypNl3H6j+nlEgSsjoAQr9V7yMLykRi5OoG21nfffVeZFPr164c333wTNCfw9b9nz55q0s3cDK5woFkikKsrG28gZUoeQSCSCAjxRhLtOK2LBNza2qrssVzpcPLJJyvttKamBqeffro6TYxp+MeLLifh+vfvHxAielUD1w7LJQjEIgJCvLHYaxaW+aOPPsJ3vvMdZXslGV977bWgWUFfJF1uqPjjH/+olp3pcH9cIV5/0JK0VkRAiNeKvWIhmbSWSpGMfq7BpV2VKxcY3tzcrEwLo0ePxq9//Wtl32UemiDOOussNUHGNFyGRqYlH0UAACAASURBVHL+5S9/qSblAmmqEG8gqEkeKyEgxGul3oghWbgG94EHHlC70mjjfe+99zB+/Hhlt3399deVjZfNIUHTpMBdbbTNvvXWW7jmmmtw1113gaaIQC4h3kBQkzxWQkCI10q9EUOybNy4EQ8//LAyI3CTxN13363W5XInm3EtLZuUlJSERx99VK1+IOE+/fTT2L17d8CtFeINGDrJaBEEhHgt0hGxJgbX2HLpFg+8IbGmpKSoA3KM5ghjm0jGycnJ4FrbqqoqY5TffiFevyGTDBZDQIjXYh1iZXE8kao/MoeiDCFefxCXtFZEoNsQr20hk59dEFAmP+uQ5H4jIMTrN2QRyNCuJlm9PTLqR9dbgghIaZUqug3xegW8A+iA83zYUGhlXuuTyKAQEOINCr7IZLYTrHI02TofscjIYOFaujfxckDoQaE7qV0HyCjRkFjNFeK1Wo94kUcpNVyK2KaUG5tSI89WtyLedhPLFtc248PsEhTXNtpjbCk4ODT9ehlSEhUlBIR4owS822oNJNph8BvS6ucpv7IBS7KLUVrv+XwOQ7a49nYf4rVrt0Yzwprccgycm4ZXvj6Aw5UNNu3XofF2VobjeiTEUOOEeK3TWTYFxT3hOqVsx/6KWjy9dh8GJqZjy2GuaukqjzN3PPq6D/G66b0dR+rwr2XZ6DV1E15YfwD8RRZN1w1QFgsS4rVYh1AcLw/OvvJ6PLFmL66dsgVjV+7E3qN1FmxAZEWKe+I1arhmaDlWMktqMWb5Llw3bQueX3cQh6j52i8vY0knETcKCAjxRgH0Lqp095wxjCQ7fnUOek3djEdW7cbu8vouSuoe0XFPvL504/YjtRj/xW5cN30TnvgiBzllMjh8wS1aaYR4o4W8l3rtWopWVujyuXpk1S5Fuk9/tRe7j8pzpREU4rUjwdeh8V/wl3mLGizZpYZBwplZ+5GG5gk6DaS4kUNAiDdyWOtx76lGd/F8VDKKqnH/8p3oNSUJz67dh/zqJk9FdMtwIV77chf2Psn3+XX7ldnhgeW7kVpU2y0HhdUbLcQb4R7SaixsmyTc1U4CVsk6gM0FlRi1dAeum7YJ//3mIPKrG1UWdyTtrqzuENbtiZe/zsYBUVjbiJfW70fvaZtx97Kd2Hio0j4OnEvNusPAsHIbhXij3Dv2lT+aaG3StKOjvRXr8ypxx4dZuH7GFry5+SDKGppt0VrB0a6saohyJ1qqetsSl5LaJrydlIfrpm7CPz/MwLrco2g3Lz00EbalmhHnwgjxRquD7RqvYtx2tZKBXu76bGztwOoDRzFiYQb6zkrG1NR8RboqqUFc870hqlt5u73Gy952aLz6l7yjAxX1rWrw9JuTihGLtmLFvmI0NLfZ0sroiepDIsQbQfgNY10/J9pVUnQAtY2tWLyrBMMWpKp18bMyilDZaNd0DaIaijKEdk+vEK+h343nNTC4urUV8zMKMTgxFUPnpWH+tkJUN7d4W7JoKE284UJAiDdcyHou10aanTc9lDe1YHZmIQYkpOKm9zPwwc4i1LXatGFuklD5TIzrQtyeq4zrGCFeY/eaBgijGlva8fHuMgxfuBX9E1MwJbUAR+qcditjdvFHBgEh3sjg7L4WJ/kerm7CxC156DszGSMXZ2FFTjGatUmOz5L9eXLzWLkvuhuFCvEaO9tgtzUOlpb2Dnxx4CjuXLIN18/comZqcytsM7XG7OKPDAJCvJHB2Vste4824Ll1+9F7xha1gmFTfhVaDWc1eNJqbc+Vjbw9pfFWb7zECfH61JO2gVJU04RXN+ah1/RNuOWDTKzLrVA/6sYBZPTrot2F6bhYc41tMfoj2Q4h3nCh7RshrtpbhpsWZKDX1CS8teUASupc1+hGa1yEC5VwlCvE6yeqR+oaMSMtH31mJmNQYire31GI1jbb77hRS3YU6zbQERuznkAerkDyaICMeYV4NSqRdRvb2jB7q82e23dWEuZlFqC0vsVhUqA0cTrcQw60EG9XkBpHkt1f0Wg7TnJAYir6zkzCuyl5qGnheaO8nDYwd6OQaYwk0lX1sRDf1tYG/unL2D6jv7W11ZHOGK7z+eqSeI855hgkJCT4mkXSeUBAD2/tuhuzzFpR34zXvslDn5lbMGR+OlbuP6LGvIdibcGOQr2m6paRQrxddbth8Ni8NmKtb25XpoZ/Ls7EdVM24em1OSiq4QE7mni1a6/AYT82hXdVv0Xj+bHLffv2YdKkSerrwqNGjVJfD+bHLM3XoUOHMGHCBNx5553qq8Rz5sxBQ4PzMCJzenf3RqJ2p/Ea493llzAfEFAD3LAp3j72uaPz8TV71E60u5Zsw+aCajS02MaxGXfD4+JDhd03iRCvr31vH5RMzsHG25YO20EgPOru2imbMOqTncgoqjGQrz2t/ZwHXVU8DM7c3FzccMMNGDJkCF5//XVFrAMHDsQFF1yA1NRU3VT1qfdBgwbhqquuwquvvornn39epXnllVfcav4KWxNejsLs2LsjXt0vRteYT/z+IKCXg9m2/96xNAvXTknC45/nqNPFONns+YoPxcJz+0ITI8TrB4624eYcWCQJjsH9FXV49Zv96DVlE4YtzMDyvUfR5kzmWoMqxKBVuMbGzF15eTnmzp2L7du3q8+88/PtO3bswO9//3uMGTPGQapTpkzBiSeeiK+++gpHjhxBUVERpk6dilNPPVXlNTfYrEGZ43nvjnh9yeeuLAkzIWDnVM5bLN5ZjCHzM3DdtGQ1iabOXFCkax/cHviXwdIfJlxNt0K8JkDc3epBpF13abi2d07mYfSdnYoBc1LwbvIh1DgWNTpzGMsw+p0prOszykt/bW3nQ4So9f7jH/9QjaBNt3fv3rjxxhvR0tLieBhJ0r/97W/xxhtveG0s6zDWqRNPnjwZPXr0QGJiog4SN4QIVDW1qC3z/WanYODcFLy/vRBljfazShz1eNIsHAnE4wUBIV4v4LiLcvmRd7kBqpta8cWBMoxYlIXeUzfjyTV7cbDcdtq+Kam7omMqzB0hklz/+te/4t5771VtqaioUAT72muvubSNea+++mrccsstLuHGG6ahHTkrKwu0G+u/zMxMPP7444p4n332WfBex9Gl1u1ONmPZ4ncioLAyDM5dZXV4dPUedU7JbR9mYX1uJWq5E83bZc/PsrxYibyV0O3ihHhD2OUceDwsJPNIDR7+bJey+975URa+yatw1GIY453W3sQ6YSxfvhw9e/bE+vXrVXtLSkpw/PHHu6w+0G289dZbcckllzhWOTgAMni4UoKmjIyMDGzdulX98X78+PGKeGkvJtHqOKbbuXOnEK8BQxevy+DTMU6z12c5pbjtg0xc894W9UGAnaX16sdP95nOIW7wCAjxBomhbSw7By+L411eZQMmbDyI3jM2Y8j8VMzPOoy6VsPIp9dxRJ6rEBzohpSukVG+8/QQkvyo7Y4bNw719bZD5GnPPe6447BgwYJOUtMOfN5554HmCE9lMhPLqqurU6sg6OffW2+9pYh3xowZLuE6XafKunmAxleNKceYc2qxPH9kVsZhdd4Cd2ZOSspFfpXtTBKdt5tDGPLmC/EGCakrQdqOzdNhXFz+wfZiDJqbCi44/8/avThQ2ehKNDqxjYeVNIagIKWLTPbs7GxcdtllaqnY4cOHHZVS4/3Vr34FLh/jpR9iurT7XnrppY4wRyYPHp2X0XpyTWy8HsAyBnsYTAwmptz6+9gXe9FnxmYMW5iJj3aXoLyh1ViCw2/sA0egeAJCQIg3INjcZXJqEIzVg5TrfbnuccwnO9BrWhLuXJqFLw8edSw5cx7E7jzf1F3pVg3bv38/+vTpg/vuuw95eXkOMdl+aqBnnXUWXnrpJZdw3lx55ZVebbyODG48JF5uoBDidQOOl6D29la7easd7e3AipwjuHVxlvrK9sOfZavP9dTa1+eai2F/6jFtjpN7/xEQ4vUfM79zcGnOwaoGvPHNflw/MwUDE1PwXuohh2ahlRLl6hsDeftdYYQykHSHDh2KBx98ENwkwcv4cHJybMSIEWplA/06rri4GCeccILafKHDuhLZmE5rvFqT7iqvxDsR4NGnXIHz1pZcDExMQt/ZyXg3uQCHqhrtSyDZT21Q6ySd2cQXYgSEeEMIqIEznRvYDOXT9EAtg6serp+2GQ9+lo30omo7Idk0Zl2Gdg3ZLeUl6fbr1w+9evXCmjVrkJOTgz179jhcvTNt1apVasKN2inX/pJ0n3rqKWWCoIkikMsb8WqC1m4g5cdfHvtSsI4ObMqvwOjlO9B76iaMXLINnx8oBbfAOy6vmyMcqcQTJAJCvEECaM7ujTCpSTS0dGBrSbVaatZr2mbctDAD87KKQJOE1cnCKN+0adNw7LHH4owzzlBLw2g64O407aalpSlouNb3hRdewIUXXqhMC9SQ6Z81a5Za22vGz9O9sW5NvGJq8IRW5/CqlhbM2npYTfReN20Lnlu7D/ySdpPziA19bHnnzBIScgSEeEMOadcFUqng5675RYtB89PQZ0YSHl+Tg20l3G7My7ll0x5gGUcTIJdtLV26FB9//DGWLVum/HS1n7vU9EX/559/jpkzZyrC5XKzqqoqHe23q4lXDsnxDbq0wiqM+3w3+kzfonZW8isR/KirWn+jJhl8K0dShQ4BId7QYemhJNdJN5XIvqSHO9t4gPRDK7PRaxq3G2fifzuK1Y43b5qzh4rsS9Dc1OcpQxDhXAbW1NTk9q+5uVmt/zQWz80VlZWVinD1SWaaxI3pfPF3J+J1j5FvfVzZ3Ix5WYdx44J08O1q/Oc5yrTFCTTzZ658wV3ShA4BId7QYem1JD5AZjLlPSfe8iqbMCMtDwPnpeGGmVuUGSKzxLkd1+Xh04Uo1/4A6jCvEsRPZHci3s69Zuhze7+7635quY9+vgd9piVjyPuZSMg8rCbQxITbGdFohAjxRgN1Y532p6ayqUVpvw+v3IXeM5LVhwPnbLUfNO1I77pRg8FOUo6ejdgpg0PQsHq6N/HaoHVg3q6XeZGQbSsWpqTl48YFaWoc/Xv1HqQVVqCaR+lxvIS1Z6RwXxEQ4vUVqRCkUw+L8S3R9BS0tkFpJXMzDmPIAtp+t+CBlbuw4eBRNfFhSu7+KTJ89yoEIncqwvHAd4qJXIAQrx1rw4BoaW/D6gNH8a9PsnH99E24aeFWvL+9CDxRjPNnaomYymYcgJHrM6nJFQEhXlc8Qn9neDiobhiJyxnV7jKjzK9ZpBRU4Mkv9iqthZ8Yem1jHnggtV6nxrzO10b9MLlqvc7yw9Asw2koLm0yhIe+VluJ3ZV4bf1p62sHkXZArU54Yf0B25bfGUl4af1+pBdVor5ZjZJOP9Cd35vC1VNSricEhHg9IRPpcBNLklT5+eyPdpXijiXbcd30JPxz8TYs2FYIHtun3hlNeZwiayJ2hkTaZyTjUNfdXYlX46ix5dbehIwCjPhgG7hEbNSynVixrxzFtc02LdeeQQ0TbopwXPbx4XH8OBKKJ0wICPGGCdiAizU+DB1Qn1jZU96AKSmHMHBuGvrO2IIHV2ar18pmj6ets/bQkq9+2HW7zPddhev4ULjdnXjr2zrw6d4yjF65Uy1FHLIgA9NTD2FfeS0a9TELpnFkxN1T3xnTiD+8CAjxhhffzgRofCAc5OgkSZdox007Kho5+VahlgRdPzNJbTt+du0+ZBXXOCZMnMnpc5YZ9iZGuIJuRbyO08RspiXudHzyyz3qsP0+PHhpzV5wBUNlQ4ujF1yJ1bprwh0Cd0OPEG+MdDqplEvPuPFi+Z4SjFq6A72nb1arH95OOoicMttRjF03J/YJOZaJ14UU7b+UtjBbvzDIHqy6UpvMs8tqMWFzLobOy0Dv6VswdsVOfLavTJmjbLb+2O/Xrsdu/KQQ4o2VvrRrPnxIedj6/ooGzM8swi2Ls9SDeMviNExPO4QDVXYCts+8OR5k/ZCr9sb2Qxq7xOvE3UHAul/sDKs3Nqh+sx/bODkpD8MXpYNvOjxfYeGOIrX2u4lHjLm57EW6iZEgqyAgxGuVnvBFDv1E2V1+kmXHkTpMTy3A0AVblb2PE3Az0vPVBzh1cocKpQMMr6/eqnWQg7dEUYiLSeI1YK8hs3GtXoniSqJ7j9ZhYnIuRnyQieunb8bwRVuVHZfn5/JcD3U5l7XoIsWNEQSEeGOko0ieShsykib9HR2oqG8Gd7pN2pSPIfPTcf30Lbj1w22YlpKP3AqnCcL27HPpmm2GW91rQuiEgysRdIqOYkDsEq+NZJ0/aE77q+6bfUcb8c6WXNz8wVZ1gt2wRZmYmlqA7SW1qDaeaOMNf4996i2TxEUSASHeSKIdcF0mEuxoU4RrfL74MJc3tyP5cCVe/fqg2p/fZ2YybvkgA1NT87GntMFWuy6KmY0FmGTrItqUOrK3MUm8DohsHaDwtf+IcnHKjpJKTEo6hOEL05XpiOcr8MzcrKIaVDmWKujO01qyLlSH2/vUS7/qHOJGFwEh3uji32XtvjxDTg3KNvNdWtuErSW1eGfzIbWDiRrwzYuy8MamA2phfVOrcwbcG/l2KVyUEsQW8RpIUeNlNxG0tHdgU145Xv8mF8Pez1JvKjcv4tKwAmwrqUNZQ6vqHj3BZstuL88+MNyOD7eBunJxrYCAEK8VesEnGWwPnO2Zcmo8jmfM7jGScEVzmzJBvLXlAIbz8PWZKRg6Pw3PrDuAdQcr1KurI79PMlgjUWwSr3O/WGVTK1YfLMOTX+7FkHnpanMMP8HDr5LsLK1BRbPhh9EOubFfXXrB2IFuxoBLWrmxDAJCvJbpCv8F8fgwmoqi5rSjtA6JW/Nx59LtanZ8YEIKxqzYqfbz27YimzJZ+Da2iNdm0aGSu/toPRKzCvCvT3ZgwJxk9J2dovzcjZh9pEGt1TbC7uzfzlqzjjPyrjFvPK/jdm1nbN4J8cZmvwUkNc+A4Kz4JzmlePzzHLUT7oZZyWrL6StfH8D6vDKUNTg/A+P2oXYbaBNHR9HVxOCVAHQGP1sTFPEa61SCulbulNtpAtdZjHHGXDreGKb9R+ubsPZgOV5Yvw83L8pE35nJGDQvVW2CWLm3VC0L5OoUfXkrS6cRN/YREOKN/T7ssgXqYXashmhX64B5atXGQ+WYuOWgWgvMXVCDE5PV97impRUoDbm2pc3JPi5kSmJ1Ts45CUm/Tmsisbu6bhdWYZxOZ2uCsxzvTQqEeF3tpG7Kd5HN2TZzSiWjOa0jka091a2t6ou976bkObRbTnSO/GgH3k3KUzsQC2ua0eDafEcp4ol/BIR447+PnS1UZ7faSIUE0toB9aXjXWV1WLzjCB5dlY2B89LVK/BNCzLw6Oo9mJNRqNYK67WjTuLRJGsrvjNpOu3QWgAzX3XOo1N6dwMhXifJu2G7Dsa6SkfZXOQzpLFtctDl2Mm2uVV9uonfNXt41W5lS+eP2aAFaWpbLw87oqmBW7/b9HkKbpvpXGLmNloC4wIBId646EZfGqGJwqnEOo4WBFDf3KbObk0prMLM1Hw8sGIH+ifyUJ5k3LQgHY99uQcz0wuRXlTXafKHlMU/rg+2kZW9Ls1lOgHFtGu/eoeWCvKgjroQn6GJgREvtXTjCV2GAg1yKfns8hplVKkpu6EMkmhKURWmpx7GQ5/twtD5qegzPRkD56fj4c92YfbWAqQXVuNwTTPqTWyryza2kX4NmUk6uY0zBIR446xD3TXH8XBr0jA93Y54AFxTWtXchgOV9dh4qBKTk/IxdsUuDEhMR5+ZWzB0Xqp6feauKtooD1U1qi/VNtTWoKO52cbAqnxqvE5p+J216upa8KvDml2M8UxplMOQ1VmI3ecv8apytbmD5g2H31m0rW7nucgOWSiIXZjGjnbkVjRi+d5SvJ2Uh1Gf7lSrEvrw0KK5aYp8p6YXKFNCXmUDaFO3ZXX+6OmybK4t3FGXEodhph8up5jiixMEhHjjpCN9aYYmATuPqCyalJz5nWRAEqZWRxLhyWhc7jR25U4MXsBzA1IU2Yxcugv//nI/7p/1MWau2aQIWx9XSe2Qde3Yth3jHn4EvXtdhwEDBuH1NyagvLLCWaWLz046LmGuN/4Sr2tu851nkuNZCAfL67A+rxIz0wswfnUObv5fFgbMsX1Wh8cxPrx6D2akHcbmgmr1I0S8jPg6SNSlWs9t1Hldydgls9zEAQJCvHHQib43wQ3JqNdn2+Ou/lfaoJEYbH7aQHn04KHKBtAcsXhHIZ7+YicuejoBl7/6Ca6euBZ9pm7ErUsy8dCqXZiUdFCdnrUh5zB6DRqOGwYMxvTp0/HW26/j8ksuxtgxo9HaxE+M+3+Flnht9Te1tini5BGLy/ceVRrtAyuywQ0NgxLT1WoE2r/vWrYDL6zbhyW7itUXe6nx83t5JEojaWq/sXU2Dd+GJ+PdpTGmF3/8IiDEG79962iZfsDNriOBDx6jBkYCqWtrx5tTpuGMv12BNz9chYtHPYm+ryzA3Z/sxJD5qeg7J0mdGcuVEn8Z+y6un7AEz6zejmmb9uHBt2fhpHMuxuqkrWo7bLPB9Gqsh2K5I6jJk97BMT16IHFOgg+SO5PwWM3yhmYcqGzE1uIarD1YhoTMfLy8YT/GrtylTv6inbb/rGT0nZOizr24c9l2PL9uPxZtL8KGQxXYW9aAkromdUC9uzNqzPI7a7c1RveBS7jpRpXBwn1JbMort7GBgBBvbPSTJaXcuHEjlixZgpLSI/j9n8/FEy+9pr4Lt7mgEkt2HcGkb/bj749OxlWvLsWNi7ah/9x09EtIxvVTvsGFT83H0LmbMWbFLvUK/+z6vXgnOR/zsg5jSXYx1uUdVTZmnr62s6Qeu4/WKo2UGuZL70zHd447EW/Nmm8Lq24AV2YwHQ+T+Sa3Amtzy/Bhdokqj/ZYHhrPVRr3frpTLZ/jDr4Bs1Jww+xkDJibqj4uOvKjTDz25W71tQ+uQkgqqABPCePSr9qWdnUesq0j3Lw5WLKHRCirIiDEa9WesYhc3jS4+vp68K+hrh6/OfUUvPLSy2piiMpaQ0s7Dh0pw+l/+iuee2cGMkrr8FlOCRK3HsbbW/Jx9XMJuOipORi2aKtactV/bhr6JaaiX0Iq+s9JxcBZaRickIob56bhpnlpGDY/XZkxaMq4/t0vcP6j09B36leOMMYzHQ8KHzQnCQNnp6DfnFTcMMde5rx0DJqfgWH/24p7PtmhVmm8ufEA5mYWKJPI1sPVirwLqhpR0dim5HfXBd7wcJdewgQBdwgI8bpDRcLcIuCedNpRW12D00/7DV55+UWXt+MjJUXo2bMn5ibOUeXxAPfqljYcbWzDLfc+hHOv7KU0VJ6otmb/UaXpJmQVYkpavjrQ578bDqgdXvzUzSOrduLeT3Zg9IpduGHSKvzp3jfQ/91VuG95tlplMW7lLpX2qS9247Vv8vDmxn3qsJnErEKlfa/ZX4aM4hq1Jjmnoh75NY3qEBruGmuyHbjpXE1gX1XgMCXY3/p1+7XrFiQJFAR8QECI1weQJIkNAU+EU1NTh1NPPRkvv/yybZ2r3TBbWFiI4489DgsWLLAXYLdzdnTgX6Puxl/+8he0t9oMvDxqtq61HbUtHahqaVG22NKGFvWpo4KqJuRWN6vttfzyxgvvTMV3ep6KN+bMV/ZahuXWNKrP4BTWNuJofQvKGltQ1dyqlnRxDW0zDdNGmylv7evZVJTd33krhT3EmNcxIIyTkI5A8QgCXSIgxNslRJLAEwKKuDqA6upq/PrU0xTxMq3eBXbkyBGcdNJJmDVrlrMIO4ENHjwYV111hYP8nMuunLP+jkwqj3P97eTJ76FHjx6YO3uuI4mNVJ1pVITOxyIV7+pdYVpCVy52yKBUXWca5tV3rhsfhHidHSA+fxAQ4vUHrW6elkSrtURCoe9r6mpx6q9Pw8uvvOqi8dbXN+KcP5+D559/XiGn8rZ3gJspLr/0Mtx1110ORMmRDqXTvslBR9q52lH3xHcmKeJNSJhtT9KZAG15PIXbshnbYiNmXaOrq8rSQrhGyZ0gEBACQrwBwSaZjAjU1NTgtNPsGq+BoEhs//rXfbj66qvRzF1t9is3NxfHHnus0oQNyXW0jdB55zCy2qPsmufkyZPtxJtgU3TtPwIqlbsCndkNdlxXbVdnU67BDKHLdCFpvbPMXq44goC/CAjx+ouYpHdongqKDqhtwCeffDJefJGrGnhR07Rpm5s3Jylzw4QJr2Hv3r3Izs7GvffeizPPPBP5+fn29N4dV9IDutpA4dCcNZuai/cQ7iHYnFvuBYGgERDiDRpCKYDnL1xwwQWYOHFiJzAaGxsxZcoUXHnllejbty/69OmDa665BsuWLVMmh04ZfAjoinh9KEKSCAJRRUCIN6rwx0flra2tWL9+Pfbv3++2QVVVVUhJScHChQvxwQcfICsrS63/dZvYh0AhXh9AkiSWRkCI19LdEzvCccKsvb3zZJZuAc0FdXV1aGiwf+1YRwTgCvEGAJpksRQCQryW6g4RxhcEhHh9QUnSWBkBIV4r906MymaeDAt1M4R4Q42olBdpBIR4I414HNfXFeGa4833vkIjxOsrUpLOqggI8Vq1Z0QujwgI8XqERiJiBAEh3hjpKBHTiYAQrxML8cUmAkK8sdlv3VpqId5u3f1x0Xgh3rjoxu7VCCHe7tXf8dhaId547NU4b5MQb5x3cDdonhBvN+jkeGuiEG+89Wj3a48Qb/fr85hvsRBvzHdht2+AEG+3HwKxB4AQb+z1mUjsioAQrysechcDCAjxxkAniYheERDi9QqPRFoRASFeK/aKyOQPApYjXr2NVLv+NEbSdg8ErEK84Ryj4Sw72qMkGm2LRp3ecLYc8XoTNpA4qwEeSBskjysCViFeV6ni4y4enxdPbfIU7ktPBpOX5VuKeINtjC+AxXOa7oKfVrqxMgAAFrlJREFUEG94RnG4xk+4yg0PCt5LDVVbLEW83pscfGyoQAtektCXoNum3dDXYJ0SI0m83QHPSLcx0vVx5IayzlCUZQniDUVD/KUF1umt3q7i/alP16Ndf/LGQlrdLu2GW+ZIEm+426LL19iZXR0fKVfXH8r6wlFmKOXztaxQtsMSxKsbXlFRga1bt+rbkLhGsIx+Fs6v3paWloaknq4KYd3btm0DP/4YiYvtysnJiURVqg5+PThSWEaaeAsLC3Hw4MGwY6nH565du8BnIRIXP1S6c+fOSFSl6jh8+DAOHDgQsfrS09NRXV0dsfp8rchSxFtQUIBPPvnEV9kDSqcHNzN/8803nQaBMT6gCkyZdHn8HtmqVatcBoGOM2UJ+NZYXm5uLjZv3hxwWf5mXLduHVhnJK5IE++ePXuQlpbm0jQj1i4RIbjZsGEDSFCRuMrLy/Hll192qipc7du9ezdSU1M71ReugI8++gglJSWO4sPVLkcFPnosRbz5+fn4+OOPfRQ9uGTsgE2bNkVEk6GkJN7PP/8cNTU1wQnuY25qaGxfpC4SbyS0QrYn0sRLsjATbzhx5RebI0m8q1evDmdzXEx61OajSbzBNJTPML+kzY+2Bnv5Tbzh/MUg8YZb4zUCtnHjRheNN5xt0xpvJIk3khrv2rVrXbA04hys39wv0SBevrKG+9Lt5I9YJIn3iy++CHfTHOVHg3iPHDniqF97NNb63lc3IyMDd9xxh3p7bWlpcWTztzy/iddRUxg8fCWgVsjL34YEIk5ycjJo3ohUfWvWrEFzc3MgovqcR+PGBzclJcXnfMEmpNkm3GSh2zZ16lT06NED8+fPD1Zsn/JTk6d9XtfvU6YgElEhiJS9nNobNexIXMSPGmNmZmYkqlN1fPrpp6isrAy4PnOfNzU1YfLkyTj55JMxfPhw8G3B+Eyb03uquEviLS4uBm1OfLD039dff+3w67BQuMuWLcN///vfkJdNeY0yaz8f4MWLFzvidLh2Q9EmXRYxfOONN5Q9LRTluitD18W4Dz/8ENOmTQs5luZ6dZ2TJk1SWDJeh5nTursnyRAb2hn5w2R06Xd3f//99yviffLJJ8H87soNVRjbsnDhQsyePTvsdWmZ+WDT5Kbvw+l+9tlnePvtt1Vd/vSbvzKxbPbV+++/r7Bk/nDWp+V75ZVXsGLFCkddgdTJPMZ8xOzcc8/F9773PRx//PEYNmyYUhj9MUF0SbwEqmfPnhH5O/bYY/Gzn/0s5HWdcMIJLmUSLLbp5z//OY477jiXuHC1lTKwbbruUNaj20eX5dMllmyfuT6dNlT16/Ld1eVrHboM9gX9uk+M9wzXcf/v//0/Rbw/+clPVFuN9bB9oWwjy/rlL3+JX/ziF2qcaFm1a6w7EL+Wl64uk1iy/wIpz988xJjj0oiZ0e9veV2lZ7s0ll2lDUU8xwjbaMSX5frbRmN6+n/wgx/gmGOOUeOQBMx2Pfzww6iqqvKk5LqEd0m8fF195JFHVKEsOJx/d999N/r374+HHnoorPWwPfzjq8Jdd90VsfYNHjwYY8aMCWvb2D9sG9vFX2Jz34UaW5Y3btw4DB06FHfeeaffbWP+Bx54QMl60003gX+U253LMPbZeeedpwb8ddddp+oO55hk2SNHjsStt96qsDTiafSHSgaWeeONN4LPQjjKN8s5evRoDBkyxG2/hbp+jhNiefPNN7utzyxbKO779euHe++9NyRY6mdn/PjxSuOluYvke+KJJ4JhnIANmamhtbVV2Ui4Fo5srl36Q/nHcrnulK/Iup5w1KXLpMtXW64/1WGhbI+5LNqZ+PpIO7Y5LlT3xnZwJv6rr77qVJcxTSjr5esXsTSW6WtdxIbLmo4ePar+ysrKHH4dpuMZ99prrynipSnFXIf53ihPIH6WR5skX1112doNpDxzHmNZ2k+7IW2h+t6cJ5T3nONYvnx52OvSbeE6fSOWoWyLu7JoJsrLy3OMSy2Hu7Rdhem8NH/99Kc/VVrzo48+qgiXecmVISNeF/04zDccBJFaTsamRGI5me4IvZyMC9bDfbHOSK7jZX16Ha9ubzjbqFc1JCYmhrMaR9lcx8tVDbpt2nUkCLGHNm9u2ojExY0aXNUQ7jbp8iO9qmHp0qVK2dH1GzF1F2aMd+fnyiu+3fFtQG/OaGtrU0n9Ka9LU4Oxcn8KNubz1c9GcRYy3JduB439kdpFw87hBopILieL5DpeLifT63g1vr72Y1JSksKG+ajhfvDBB/jPf/6Dl19+WYVTk9AX03Aij695CQkJOjisrqzjDQ287LtIEy83ULhbThZoi7i6heuQ+ZamCTeQsvwi3kAq8CePr+t4/X2wtQzmfHzl4StdJC5qvHwd90S8ZtkClUmXQxLkD0ukLpo1NPH6WiexoNmAqxPYD8SHNvAHH3xQ2fr15Odjjz0G45pJrfFGkniNi/41xr6209905nW8oarPXTk04YR7A4Wx/TRHRXKZ45IlS0JKvByH/pgUjG03+i1FvEVFRerhMwpo9LsbOMb4rvzm/FzHe+jQIZds5jQukUHc8NeRA5x2Il6hroflGcukqYGapPnSabRrjg/0nps1vG0ZNtdHzfa+++5TS5nonzdvHgYMGKDWy5IMqKUsWrRIrcz48Y9/rJacadkiTbyce8jKytLVh92lQhDuNdG6EcSaP5rhvIx9v2/fvrCs4zXWYWwL7decFwjVpevRbqDlWoZ42RAuTuZDGM7LCBg1LqMmFc56WTbbZn5tDkWdxjbp8rimUJO8DgunSyx9PQCI6f75z3/iqaeeUm8AW7ZswR/+8Ac16aJf39gmpnv88ceVWYE2NX1FmniJZX19vareHdZarlC5fI1taGhwFBfOOrn43/jMhbMuNojPuKe3PkeDQ+gh6RqfOX+LDhceliFeDQhfySN1hQtUd/KzrkjWRxncYall0K47WYMN66rsZ599FldddZXSRPgQXnzxxWr5lLsfQU40fetb3wKXBekr0sSr6zW7XbXTnN7Xe5YbrrLdyRDJunT94azTXLb5PhAZdBna1WUE6lqOeNmQUDXOF1CMdRn9vuS1Wppoyu9r3ZwJ5oYE2t540fzSt29f8BXUeOnyaDf+/ve/j969ezuiNfHOmTPHERbrHt1eX9rhT9quyjOXZb7vKr+V49mWcLQnFGVahnh9aYwvaUI1ECJZVzhljkY7vNXJjR2/+93v1LpKtpsaL+252sRgxoI2+B/+8IdqQ4WO08QbqeVkut5IuEbsjP5g6valHF/SBCNDpPKyHea26HvtRkoWb/VYhni1kHw91n8ESvt1fDhd1kebV7g6iOWSYLjYmvZXT2QTyjby9Z1rNWlbi9TFdrrDkAe/8HAR7gJzZwZxJx8n7bg7iEvL9KWJN1KrGlivltddu7RcoXDZX7S5Gg9eCUW57spgm7iunBNswdhB3ZXdVRjrC1ed7CPNG9rlsxbuvuuqzcZ4SxEvNZ9Ro0Zh4MCB6m/QoEFqpptbSiOx8YCHhfz9738Pyww2V2xw/WmfPn3Ulte//OUvaqsmd8+F4+KsOA8IoS2VdV144YVqMovkF84ByGVXnDhbsGBBp2ZxEo322meeeaZTnKeAWbNm4Tvf+Y7LGa6aeCNhauADO2XKFNxyyy2Ok+w8yRpMOJfTPfHEE7j88svVdtSLLrpI9R9JMdQXf/TZP9zCfsEFF6j6rr32WnWATSSUAZqV/vGPf4C2/lBeelxznHGTA/lD//EoAvZjKC9dXyBlWop4uWSHB1hwmdGLL76I559/Hs899xx4ipivM+aBgMA8nMQ588wz8d3vftevA8QJflcdwHgul+LD9Oabbyq7Js8dHjFiBE455RS3y74CbQfzUZP497//jcsuu0ydUMadSe+++y5OPfVU3H777WHRtKlRUwPlqU3cTkkSMV/clciNDy+99JI5yuP9DTfcgKuvvtqhsRNL7iTj4U3hWoOt+5M/UjzL4Oyzz1YHyYTjEzmsi1ou3wJIfjwFjVtSJ0yYoM4A4HkFodYMub6bCsbTTz+txiKPYmU7edBLuI/a5DhhWzlGbrvtNo/9HkwEf5h5fgJ/4F944QUHj3BpWTAXOYhjV89P6LK4AmXixInq2faVpyJKvHpAa4GNLuP4S0Xi5e4Q/irrP2q73vIaywnEzwfskksuUWTBk4zCsfGAdXCiiG3hg8YOov2S7eV+71BfXHvKdbVcCsX66HJwcMCHg7D440jbLTWpP/7xj2pLpblN3L5J4uUbjLv+NIexH4gPd8UZL2plfIDDqZ2xn6gR8g2FcvMELy7+N8tolCsY//bt25VGzWVr7C/Wz0NlOB45dkJ5sWzuIKPJiyYN/lGzpmLA9mqzSqjqNGLGt8prrrlGYcvDcjxdxjye0ngKpybNNzx99oLmkWDMbZSHuFBZ+v3vf++yKYNKIjf7TJ8+3efxEXbi1QB6co3g8ZeXR65F6kN/rJty8dQhDjgSFWfc+cBreY3yBeNneeYySb6//vWvMXbsWFW0Od7X+nQ+7TIfB4nxnmEkMK4QCIXmZi6bh59QUyNxaOI1p6G9lmYDPhSeHgKdh5Nu1HS5dVin1XG+4hJMOtZFDZ0/lvyh0sRrLDOU8rjTamfMmKGOH6SZKtSXO9n5+s/VI6EmXi07zVD8caZ5jaYA/oXi0m3RLs2VxlUwOly7gdbJ/Hx7pLlMT+zyUC8ePcm3Byo3vtYRduL1p5Fz585Vky/cccVzBmh6CAUJm8Ew3vOVn79gWsumRhiMxmss21PbmYa/xtRA+XrHnUo6n3Y95fUUrvNp1106/jKfdtppIcHUXD61ND0hxFdz44YHnZZ9qc05NBXoyywzSVcfwUdtJVoXfxhJQvwaNccFNd5QX2y7uf26Dh5neM455zg2b+jwYFxdl3ZZFjVgvqlQu+YzaIwLpi6dl+VxUwjnG7hphuPk+uuvDwnxupOVx2qyfB7TSB6hdm/ckKLlCsTlmOCbAX+k+NzqyWK2j5c7edzVE3Hi1YJp1yjU//73P6WyUyPiono+pPTTPmpOb743luPOr9Nrl2l4XBwHNo8X5GsriYGaTTDEq+tmPca66Ceh8JeRNi523hVXXKEOBdKEpfP64xrrMdZnLoNaG0mXE26BXOayPd0znMTL12R3ad566y1lbqCmT1uZbjvTUrPlYOYXJmiTdjeYdZnaDaQt/uYJJ/F6koXaId+++Pqqr2DbbM7PyV6ej3vppZeqCV9OVlJrC8dFwr3yyisdX/zlWcreNF6zrL7IpPNQ4+WPCNv117/+FWeccQY4V2DeQq/T+1M203IrO3mC5fbq1cvtpGtXZUeceCk4z6QlEfBkMLp6LzUfNL6O0j7JwU4C5OHaPLGen94I5CKh8vAdY33UNhlOAuTB2vzF58X6CShtzYFeLIuztnxFZftox9WdwF9dftaFEyac+f/b3/6m6udkkU6jXV/r51GarEf/uZsFJ94c6Hz9Itb+1qFlofbH9hBL3T7jg6pfUc0ar7E+arCcPKXJg9o+N0/wkBza5RhOwib58kcqmpdR5kgTL4+E5OQXbaBGHIwyBYqNsQxquTyAiBOunOPgGDGTU6D1GPPx8CMqUTwbRdfPuqiZhuPi2GRd7DeeLMdP/7B9VLKCsZdr2Vk+OYlcwQN/9LjX8b60KSrES9sVX++5P58uv0WmLxIiG8DG0O5FIjn99NNxzz33qCT+NI4ZmJ5fNND1cWnVjh071Owtf7E40EhG/CNhEsyVK1cqEtaAatk8uUaZ+BVSdvBZZ52l6uQyJG2/Yzo+SNSsuVaT5o0//elP6pefr+rGcjzVZQ7n7DfbRrKjy4OfjRfr41IazpiTnIO5qJHyF55tY9+RHEjC5kvbeM3h+p7t58PIU/v58PHHldoXHxb2N7Ho6goEq67KNMfrOjguwmVq0HXqumjPJSnxByncB+VQEaCywbHINuqljloR0bIF41Ix4BdD+ONK0uNzxv6n2YHbwBkWKjOAlpNYah5hGN+q+EHPb3/72+B3HYO5+CzzjYyf+6HywJPkArmiQrx8xaeRmqci0eUvk7eLkyxGY7m3tO7i+NrGejj5wwkmdjzLJHgkYv5xcPz5z39WhnNOAPCkLOPhIe7KdRdGbZp1sC7WaTxA25yexE7tl9/aCqQulscHxoglB7q++ABRmyFZMh0v/YDrNP64zEubGdvGP76FGDVeXZZZ49XhRpcPA7Hig8i28wdC/0AZ00XS7wmbSGm81HTZVyRdvqV5kicYTDyVyXAuB+Qz4e2UOX/r5sdkOaHKZ4rPGJ+1888/X01IUcnhvdHez/I9yehr3e7y86O91FKNphtfyzOm47wMTUBcE0xFh28l7uoz5nHnjzjxUkitzVKz4R9/nTxdfCBpmwxmyRUfaF0XXcpAcqSNkX+cmeQfZyp/9KMfqbV6XGGhZ9M9yeYunGWzDhILXXdkYuwoanzUvN0RmLvyzWHE0tg2raVzdQHfEqjthuohptxGLN21jfL5Qrzmdlj53ky8xv4LldwkXWqcXMJGrTccdbBMb+Vy3Ty3Z4fy4HAqWfoZ0y6fNa735hsT/TQthury1D6aLblGnwpDoBd/IPjmw/XBfL44WU28+Obq7xVx4jULaASKk2i0x9CGQs2NmirtsFz4z+VKxrTmcrq6Z15jfpIVidX4R81Ln/2qJ326KtddvLEexrOs119/Xa0HpebJttH2RBMLv5jLCS9zHnfl+hrGQcEJBi4i5y+z1r6pGfNQmkAGiq91Mx1NEdTk4+Fiv5AYOC6My/BC2V983eYs/K9+9Stwp56xv6gAcI1vsJeWly5tu9yowXZxLHJMcmKNa6Zp9vGmCPkrB+vjSgDjc0Y/1/JyVxn97urT8vpbH00nnEfhXBHnI0j8/PILd+jRhBPoKhlusOKbKRUl1sGLP8jUfml6MF9dyR914jUKTHKitsSVDJwBpa2UGhu1U0/alTG/P353wPDVl9onCT+UF7VQrmbgrzwHANtG2y5nXWnb1DY1dzIFIgdJne3grjjWQ5srcdV/tK2G8+JqjVBvBw2nvF2VTUWAr8pGk1io+op182OanMdgf7GvjP1FWzpXBJivYOrn7jSOQz5f7CuOS77yc7chNe9gyjbLabw3lstJbT1vY0wTrJ/PEnfEETeujOIfnwHWFai5jT9O/GGkXZpEzott4Q8GNwMRR5oy/LksRbwkPs7w89eKfxyQfO2hdhqJi2ASWP4Kh/pi29jxXDHBtnEiiZMnmnSDrU8ParrEi5NeeiWHXvGgXa5y8PXS5ZrTuwvXYRyo7lZXmMuIlXviyXERrnHINyLaVXX/kOi1n24oX/2JOccc6+NYpM2eLuuhWU/3Ybj7hkTlzzj0Rx7OG/CtTvMI1/FyXkeb4fwpi2nJB8TLXT/wuWZ/mcdGVzhaing1IGwENVwC1VUDdB5vrqcyGO4pzlt5/sYZ62Gb+Etpfr0ypvG3fHP6SLTJXKe+j2bdWoZYdLvCrat4f9vM8jgG+ZzRDXX5/soTivTGNvA5M/KILt+YRof54ppJW5djdn0pi2ksQbxaeE9CdxXvKZ9Vw921x11YsPKHo0xvMkW6Pm+yhCNOt0+7oa5Dl6vdUJfP8roqu6v4YGXyp3x/0nqSKxRl6LJ1WWZXx/vjRp14dSP8ETqW0prbZ76PZFsiWXck64okhpGuKxI4RqKOSOPmqT6rtDXqxOsJoFCFE2j9F6oyQ11OMIPBmNfo70pGq2PSlfwSHz8IhHss+vNcRArV/w+BivL1ZjWDQAAAAABJRU5ErkJggg==[/img][br][br]The 3 arcs on the graph all represent quadratic functions that were initially defined by [math]y=x^2[/math], but whose equations were later modified.[br][br]Write equations to represent each curve in the smiley face.[br]
What domain is used for each function to create this graph?[br]