IM Alg1.6.12 Practice: Graphing the Standard Form (Part 1)

Here are four graphs. Match each graph with a quadratic equation that it represents.
[size=150]The two equations [math]y=\left(x+2\right)\left(x+3\right)[/math] and [math]y=x^2+5x+6[/math] are equivalent.[/size][br][br]Which equation helps find the [math]x[/math]-intercepts most efficiently?[br]
Which equation helps find the [math]y[/math]-intercept most efficiently?[br]
[size=150]Here is a graph that represents [math]y=x^2[/math].[/size][br][br]On the same coordinate plane, sketch and label the graph that represents each equation:[br][list][*][math]y=x^2-4[/math][br][/*][*][math]y=-x^2+5[/math][/*][/list]
[size=150]Select [b]all[/b] equations whose graphs have a [math]y[/math]-intercept with a positive [math]y[/math]-coordinate.[/size]
[img]data:image/png;base64,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[/img][br][br][size=150]Describe how the graph of [math]A\left(x\right)=\left|x\right|[/math] has to be shifted to match the given graph.[/size][br]
Write an equation for the function represented by the graph.[br]
[size=150]Here is a graph of the function [math]g[/math] given by [math]g\left(x\right)=a\cdot b^x[/math].[br][/size][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMgAAACxCAYAAACBdfKXAAAZrUlEQVR4Ae2debRO1RvHzSxkSjJGSaZICRkuSmYWN6VoWsuQqPijEoWSNJChkETSokEhKoubTLFUKkNCSohMTWTIEO3f+uzVfn/7Pe85732v+773PefeZ6917zlnn3322ft79vfd+9n72c+TS8UQ/v333xhSSRJBIPshkCueVRIixRNNycsPCIQIIo3bD59DyuA3BEIEiaVghkTm6PbM2bNn1fnz591uSZwgEDgEPAkCCc6cOaPOnTunK2VIwRECnD59OoII3Pvwww/VihUrAgeEFFgQcEPAkyB//vmnGjdunNq4cWPoOUMS4saMGaMOHDgQusfJqVOnVIMGDVTHjh1DxApLIBeCQMAQ8CTIwYMHVb58+dSQIUPCqkSvkpKSomrUqKGOHDmiDGlItHDhQpUrVy5VoEABtWbNmrDn5EIQCCICngT5559/VLVq1VT37t3D6jV//nyVN29eTQb7Br1H8+bNNUEgSWpqqvQiNkByHkgEPAlCbdq1a6eHTKaXOHHihLrmmmtUy5YtFQQi3tyj98iTJ4/+y507t8qfP79au3ZtIEGRQgsCBoFcpoGbCPt64MCBqnz58ur48eP69syZM/Wwa+XKlSa5PiKwN2vWTJOpQoUKqkqVKqpu3bqqa9eu0ouEISUXQUMggiB2BSZPnqwKFiyo9u/fr44ePaqqVq2qunXrZifR54sXL1Z9+/ZVhw4d0j1M06ZNtQDfq1cvtW7dulAvE/GgRAgCPkcg6hArLS1NyxTbtm1T06ZN08L3pk2bwho808BbtmzRPQW9T82aNVXDhg11GuSSHTt2hNLbvZPPcZHiCQIagagE2bp1qypSpIhasGCBnrXq169fCDa3xo5cUqtWLT3UCiWUE0EgwAhEJQjTuMgTt99+uypbtqzauXOnrqobObjBKjoEoQch2OnMuTnqBPJPEPA5Ap4EoSEzfEL4ZkZqxIgR6VZFepB0IZIEAUMggiD2LzwqJa1bt9YzWQjg6QVnD5JeerkvCPgdgaizWMxAFSpUSE2aNEnXwyaPW8WEIG6oSFyQEYjoQRgmsa6BLhbTtXXq1FHHjh2LqY5CkJhgkkQBQiCMIPQQc+bM0VO6bdq0USVKlFCrV6+OuTpCkJihkoQBQSCMIJS5T58+ehUcjdyMqq0LQQLy1aWYMSMQIoiRLxhinTx50jMDk84tgRDEDRWJCzICIYLEoxJCkHigKHn4CYEwgkTrHWIptBAkFpQkTZAQCCNIZgsuBMksgvK83xAQgvjti0h5fIWAEMRXn0MK4zcEhCB++yJSHl8hIATx1eeQwvgNASGI376IlMdXCAhBfPU5pDB+Q0AI4rcvIuXxFQJCEF99DimM3xCIK0HMjkKz5dZvlZXyCAIZRSCuBLFX0jOrtpLRikh6QSARCCSEII0aNUpEWSVPQSDLEYg7QWrXrh2yapLltZEXCgJxRiCuBDEyiPQgcf5Kkl3SEIgrQYwMwj52ziUIAkFHIO4EqVevnipcuLC2yRt0cKT8gkDcCXLttddqe76dO3fWHqcEYkEgyAjElSDIIPQgONjBO9UHH3wQZGyk7IKAyjRB7PUO5A4c7FSsWFGVK1dO1a9fX9vXEpwFgaAikGmC2BU3QnqLFi20k096kQkTJkR4w+UZm1h2HnIuCPgJgYQQ5IYbbtAOPhlu0Zv8+OOPQgg/fXUpS8wIxJ0g9kLhvHnztIeq/v3762lf6TVi/i6S0CcIxJUgZqHQKCtyjZ9CDGCvWrXKJ1WWYggCsSMQV4Igg9CD2CvpGzZsUCVLltSecY0z0NiLJykFgeQiEHeC2B6mTNWGDh2qp36nTp0qsogBRY6BQCBLCILznerVq2t3bnv27AkDRuSSMDjkwmcIZAlBqPNbb72lZZEBAwaoM2fOhGAQgoSgkBMfIpBlBEE+SU1N1bNay5Yt8yEUUiRBIBKBLCMIr968ebMqU6aMYp0ED1YE6UEiP4rE+AeBLCUIZJgyZYrW9n3kkUdEmdE/7UBK4oFAlhKEMjDVi6ZvsWLFVFpamkexJFoQ8AcCWU4Qqr1+/XqtzIgP9oMHD/oDCSmFIOCCQFIIQjmef/55LbCPGjUqbFbLpYwSJQgkDYGkEQQhvVWrVqp06dKunnRFeE9am5AXWwgkjSCU4bPPPlNly5ZVN998szp8+LBVLDkVBPyBQFIJAgQjR44MDbVOnTol077+aBdSiv8QSDpBGGrRg5QqVUotX75cPowg4CsEkkYQW8ZYu3atKl++vEpJSVH79u3zFUBSmJyNQJYSxCaFE/YxY8aEFhBPnDjhvC3XgkBSEMhSgtg1tMnCOQuI6GoVLVpULViwwHUfu/28nAsCWYFAlhLEkMIcnRXctGmTuvLKK1XdunXV9u3bnbflWhDIcgSylCCx1G7WrFmqRIkS6s4771R//PFHLI9IGkEgYQj4jiDsFcHIQ8GCBdXEiRPV6dOnXSvv1Qu5JpZIQeACEfAFQZyNfe/evapJkyZaNZ6pX/u+fX6BdZbHBIGYEfAFQdxKu2LFCm1Tq3HjxmrXrl1uSSROEEg4Ar4lCD3Fyy+/rOWR3r17izyS8KYgL3BDwHcEsYdQyB99+vRJVx5xq5jECQLxQMB3BHFW6ueff1ZNmzZVl1xyiVq6dKmsjzgBkuuEIuB7glD7NWvWqMqVKyt8j2zZsiWhgEjmgoCNQCAIQoFff/11vXeE1fYDBw7YdZBzQSBhCASGIOfPn1dDhgzR+lqPPvpoyCqKFzLIMrY845VO4gWBaAgEhiBU4siRI6pbt26aJK+88or6+++/o9VN7gkCmUYgUAShtvgawa4WQvuiRYvUuXPnMg2CZCAIeCEQGILYwyUUGVu3bq0qVaqkZs+eLTNbXl9X4jONQGAI4qwpm6zwgXj11VerJUuWOG/LtSAQFwQCSxBqv3DhQnXVVVdpva0vvvgiLoBIJoKAjUBgCGIPsUwF8GA1Y8YMbYSuQ4cOauvWreaWHAWBuCAQGIJ41fbkyZPqueee016s2EOye/dunTTaNK8b2bzyl/icjUDgCcLnY2PV4MGDVfHixRX+R2QhMWc36njWPlsQBED279+v+vXrp0nCgqJxrxBPsCSvnIdAtiEIn27nzp2qZ8+eerj11FNPqb/++ivsi8rQKgwOuYgBgcATxClrIKjjepqFxLFjx2prKUKMGFqCJHFFIPAEMbWySfDNN9+odu3aqQoVKqjx48cr7Gw5iWSek6MgEA2BbEMQZyVZF8GkacWKFRXup7H7awebUHa8nAsCNgLZiiDORo/1eFwsXHHFFWr69OmeFlJsQORcELARyFYEsStmztlsBUmqVq2qXnvtNT3cMvfcjk6SuaWRuJyDQLYnCJ/SkOTyyy9XL730khbczScWQhgk5OiGQLYniCEAyo30JMgkWEs5evSoGx4SJwiEIZDtCUJtDUnoSdq3b69nt/CR+Pvvv4eBYS5MenMtx5yLQLYniLOxf/7559oNNa7fnnzySXXo0KGc+/Wl5ukikO0JAgJOknz11Vd6626ZMmW0DhemhdzSpYueJMj2COQIgrh9xW+//Vbdc889esX9/vvvF3cLbiBJnMqxBOHb79ixQ2v/opbSo0cPtX79emkSgkAYAjmaICCBJfnHH388tOkKa/KYGPJrcA4X/VrO7FKuHE8QPuRvv/2mXnzxRe3dqlmzZur999+XVffs0sIzWQ8hyH8AotD4xhtvaEMQderUUZMnTw5NAyf7V5v3J7sMmWxngX1cCPLfp6MBssf9o48+CpkUeuKJJ/QeE5L4oYG6EcUtLrCt0YcFF4K4fBRW3e+44w7FWgkzXcm0mAIBcEv39ddfq/fee08P/5CTVq1apZYtWybGvF2+XzyjhCAeaCKXYJSuevXqWjbBj3sy/Lejps8W4uuuu0717dtX/6FTVrt2be07Zd68eRE18ENvF1GogEYIQTw+HI0MQvBrjRVHehOc+fzwww8eTyQmGgKULl1aYYuYd2N6FfvElIfdkxBZQuIQEIKkgy1yCQ0Raym4p27RokWWWnKEDEwa2MqVWLenLMeOHUun9HI7swgIQWJEcN++fdot9WWXXaZq1Kih97vbjTbGbKImcxsa4TSobdu2+jnuY6y7ZcuWql69elo2iZqh3Mw0AkKQGCGkceJ+ATvAqM2XK1dOC/CorLgFt8Zu0kW7Z9KY48CBAxWkTEtLU+y1Hz58uCpVqpTeIWnSyDFxCAhBMogtM0rfffedGjRokJYNrr/+ei3M43DUDjYJ7HM7TSznzF7hfu6mm27SWshdunRRkyZN0mSN5XlJkzkEhCAXiB+G6rALjHX5KlWqaMJgl8sOGSWGSW+OWIy866671LBhw9S6deu0rhg+Go29L5POfqecxxcBIUgm8Dx+/LhifwlrJQjNzZs3V2+//bY6e/ZsWK405Iw2ZtJv3LhRFSlSRBMERcqffvoptF04o/mFFUguYkZACBIzVP9PaDd4hGYaLtt4ccWABRXkBjSFY2nEzjT2NQuUF198sWLdo27duqpBgwbaKN6cOXPEs9b/P0dCz4QgGYDXbrzOx5jRYnX77rvv1kI0buJmzpypsD6f0cB73nnnHU2G0aNHq7lz52o559lnn9WyCIRhyCUh8QgIQdLBOBopnI/Sm+zatUsbquMXH+H6QlRV6H3oidAw/vXXX7VmMURjD/3KlStV7ty51auvvup8vVwnAAEhSAJARYhGZnjwwQf1ijcLffQErKXEQrjFixerXLlyqRUrVkSUDn0s7qFUKSHxCAhB4oix3fg5/+WXX/TwCFUV9r+zfoL84KXTZZ7//vvvteUV7Au/++67Wt0Fd3OsgaCDlZqaGlLFj2PxJSsXBIQgLqDEMwpf7qiq4AWLxs3Qialb0ztACkMM815mwebPn69uu+02bYQbYnXq1El1795dIYcwnex8xjwrx/giIASJL56eubGmgRr9Qw89pI3X1axZUz388MNq8+bNoWdsskAsFBOxwIKNYY7btm3TPYedLvSwnCQEASFIQmAN32Blfu3Z684CI8MlegeGXehUjRw5UpPBqyjmea/7Ep84BIQgmcQ2o42X9AyhGCYxDYyLhksvvVQ1atRIK0Bioyu9PNO7n8kqyeMWAkIQC4x4nTobsNc1wjrDJnSrWDdBATIlJUVfM+MlIfkICEGy6Bs4SWK/lkVGtILHjRunexI8Y0EUrllXIUR73s5LzuOLgBAkvnhmKjc8827atEkTo2HDhqp8+fKqSZMm6oUXXohZdSVTBZCHIxAQgkRAkvwImyhNmzbVi43169dXWFlB/d0YtnPrVdzi3GoUazq3Z3NSnBDEh1/bNF6IwtCL/ehGmEeFhRX6pUuXhjR7nVUwzzvj5TrjCAhBMo5Zlj+B6grC/KxZs/RiYaVKlfS231tuuUUbu2PF3gQhh0EiPkchSHxwjEsuNG7z55YhCouo1rOO8sADD2iSsFkLc6mjRo3Si4kYmYgWhEDR0Im8JwSJxMQXMdEaMlrDzHxBFhyToutVtGhRLaugv4Wm7+7duyPqES3PiMQSoREQgvioIWS0AZMelZTDhw9rK4uosaDrxe5GvPpiaA7NYLNF10dVDUxRhCBJ/lROUjiv3YrnlobVeayubN++Xfcgbdq0USVLltTqLBiWYAaMTVYQSkLsCAhBYscqECkhD7IKG61QjsQPI1t1L7roIq3SguE7HJhiQshpiSUQFcziQgpBshjwRL/O7l0Q2LG+eODAAT3UYnoYo3fFixfX8gpTx9gcRlMYG8ASIhEQgkRiErgYmxRehae3YAiG6goOgvDLiJEJQxZ6lhEjRugtvRdqMTKWcniVz6/xQhC/fpkLKFcsDZQ0kIVFSGbB2MLLlDGbuYoVK6Z7FizJ09ssWLBAbxOOVhTyM392Orc4+35QzoUgQflSGSyns4Fy7QyorJieZc+ePXoYNnjwYNW4cWMt4GNVnlkxDGhPmDBB+0nJaTNiQhBnqwnwtRsJMlIdzKpCgIMHD2oBf+LEiXr/O2aGzFAMY9pMH7/55pvaBKs9K2beb44Zebdf0wpB/PplLrBcbo3TxJmjW9bOewj4WI7E/whTx+yRx+0CypO4zWYKmf0raBuz/oIxCsyiXogdMLfy+CVOCOKXL5HJcjgbeCzZ2c/Y585nzVAM4f3QoUN61guHp/3799dTyFibxwIkhGHj13333adX+DHLii2vIAchSJC/XpLKjqoLQysIwxQyC5BsH4YwyC/staeHYStxrVq1tIVI9t2jQ4ZJI785/on24yAESVIjy06vpYdhHYWZMeQX9qxgOhWBH90w1F5YqEToZ7ckC5dYnGQjGAbwII0R/qM1Vi/MvJ5xxjuv7fy87glBbJTkPFMImEYGYRD46WFY0cd8ER55p0yZov08on2Myj6CP6Rh5ySkwdLL008/rS3ks9IP2ZCFTL6xFM6ZNr3r9PIUgqSHkNyPQIBG52x4zkT2fc7RFUOAZ7GSho8TIjZ9YRWfoRkLlcyWsRYDaRieVatWTRvrxnkqdoqZKGBLMsM68vMK5t3maNKZa3M08Rzd4ogXgtgoyXmmEKCRORua1zXx9DJYdsGoHsI/Rrsxzs3GMJQrb731Vu32AY++hjhMBEAcCIWFSnTNmDBYvXq17qkY5tnvtM+9KhctjRDECzWJj0AgWkNyJo6Wlntu94mjZ0CeQSZhipnegl6D3oZ9Lo899phiJyV79PHdiGzDLBo9DkM1tiSjY9a7d29tkA/yfPrpp7rHwmgfC6Nu73aW31wLQQwSckw4Al7EMC/2arhGpjFDNKaOIQ42j+lxZs+erTWU0S9r3769tlZZsWLFEHmYVTM9Dwb6unbtqlVpnnnmGd1bIR95OTwSgpivI8dMI+DVwDOdsUcGEIcehylnhmoMrxiq0VNg7AKHRrjEw74YdpCZBGChE7vI9DgM2+h9IBCOj9yCEMQNFYkLHAJOckIeZsAYrkEeZtQYsjFBgJIm/h+XL1+up6MhEBMAdjD5xZ0gaIUyZSdBEPATAqbBUybOnQTy2g+TIYLYL3GrPIyl+8IqoARBIFkIuLVTQwqvMrk9Q9oMEcQrcxPPeBDVAulBDCJyTDYCNHzzh0A/b968sK3G5h7ldCPJBRHEZGSONggQBIU1CYJAshFwtk/kENZWunTpoj7++OOwbcYmrTmassdEEMzK4LcCk/zR/hB+qlevrqfZoqWTe9FxFHwyhg+WJd0wc8bv3btXLVq0SGseo7LfsWNH3aN4yR+QJF2CwKgOHTpoW0toaKb3lzdvXpUvXz6dDvtM6aWX++ljKhhdGEbO9odKPmoshQsX1p6CaaucoxuGgqVbSJcgPITlC3T8vf769eun76EzY+aVvdJKvDeOgk1isDHtkyOLifQeuNLmjxX5adOmaXUXV4I4x1xuiVieZzHG648VTu5xRAZhFssrrcR74yjYJB4b9q3Qc2CYYvr06XpDF5NLXjyIqQeBNG4ZOOPMLJZM87r9zEhcshHYsGGDatu2rZo6dWqIGOmVyZUgdsNnxXHy5Ml6SR9BiFVHZgJ69OihGWgLOGhnmh6EF9v5pFcQuS8IJBIBFgZRP2ElnR9yZzBt1RzNfVeCmJtoTzJmwzcF2yU5Z7yGijFm9wsVKqQGDRqk2IJJxiwU2gQhH+LlTzBIdhugLdJOTZu0jzrS458nQYYPH64GDBigLVtgia9ly5aKaTN6CXoNSFO5cmVNEtSRCTLE8kBZopOOAD/e6GS5BeKRn+0AoQmuBMEeEtbBWVjBVCU7vdLS0sKGTHRZbMRnJoCehgwhiKia2DDLebIRMA2dttyqVStF2zZxlI0djZguQj5xCxEEoTdgY/2XX36p0/fs2VPLHGYYRaR5AdqQEIR9xASnDKIj5Z8g4AME+EFnExWbrCALgR99xAREBjP8chY1jCA0/NTUVNW5c2f9ANO7TIuxOcWQws4AAR6CsE5CkCGWjY6c+w0BegkWsVFtRzOEHYj33ntvhG6WXe4wguzcuVMzasaMGaE0bhK/uYn/idy5c6u5c+fqKCGIQUaOfkSAXqRTp056SJWSkqKaN2+uFwjdfvxN+UMEIRHmI+kR8BfhFUxmHJnRKlCggJZTSA9BkFfYFyxBEPATAqbdfvLJJ3qhkNlWNz+OzjKHCMINI3Sz1zeWwFAMhS/zcgiCPIJBMAmCgB8QMG3TlGXo0KG6E7jxxhtD7dbc4+hMH0aQIUOG6IcxJUlCZ2I7IwwVo9NCWjsgt0Qbltlp5VwQyEoEGPGg+Dlw4EAtSqxZsybq62n/YQTBBwQyxfjx48MedBKFOWV06lkrcZP+nenDMpMLQSAJCGD6B1fZ+GdkHY8hVvfu3dMtSRhB1q9fr8dn7CvHQoRbQNAZNmyYXkG31Uzc0kqcIOAHBLDiyIwVSxbGLhbqU/nz59cuG6KVURPE/OIzNMI0Sp48efTahxFizH2GVZhPGTt2bNhurGgvkHuCQDIRwNQpM1eY+8FOsAlsAmRz36hRo0yU6zGsByEFu64QvJkvxuQj6yLs8+jVq5ceuzFug4USBIEgIMDiNWsezhERP/ooLkKUaCGCIDyIbsqSJUvU6NGjtY1U9OZZFGS/gpvMEe0Fck8QCDICEQQxlYEI9BTIGbDQDLPMfTkKAjkBgQiCGCI4jwYME2+u5SgIZGcEwgjibPzO6+wMhNRNEHBDIIwgdoJYyBFLGjtPORcEgoaAJ0GCVhEpryCQCAQiCGJ6BXNMxEslT0EgKAhEECQoBZdyCgJZgYAQJCtQlncEFoH/AWMfDWKUb2R+AAAAAElFTkSuQmCC[/img][br][br]What can you say about the value of [math]b[/math]? Explain how you know. 
[size=150]What are the [math]x[/math]-intercepts of the graph that represents [math]y=\left(x+1\right)\left(x+5\right)[/math]? [br][/size]Explain how you know.
[size=150]What is the [math]x[/math]-coordinate of the vertex of the graph that represents [math]y=\left(x+1\right)\left(x+5\right)[/math]? [/size][br]Explain how you know.[br]
Find the [math]y[/math]-coordinate of the vertex. Show your reasoning.[br]
Sketch a graph of y=(x+1)(x+5).
Determine the x-intercepts, the vertex, and the y-intercept of the graph of each equation.
[size=150]Equal amounts of money were invested in stock A and stock B. In the first year, stock A increased in value by 20%, and stock B decreased by 20%. In the second year, stock A decreased in value by 20%, and stock B increased by 20%.[/size][br][br]Was one stock a better investment than the other? Explain your reasoning.
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Information: IM Alg1.6.12 Practice: Graphing the Standard Form (Part 1)