IM Alg1.6.15 Practice: Vertex Form

[size=150]Select [b]all[/b] of the quadratic expressions in vertex form.[/size]
Here are two equations. One defines function m and the other defines function p. Show that the expressions defining m and p are equivalent.
What is the vertex of the graph of [math]m[/math]? Explain how you know.[br]
What are the [math]x[/math]-intercepts of the graph of [math]p[/math]? Explain how you know.[br]
For each equation, write the coordinates of the vertex of the graph that represents the equation.
[math]y=\left(x-3\right)^{^2}+5[/math]
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[/img][br][br]Which equation is represented by the graph?[br]
[math]y=\left(x+7\right)^{^2}+3[/math]
[math]y=\left(x-4\right)^{^2}[/math]
[math]y=x^2-1[/math]
[math]y=2\left(x+1\right)^{^2}-5[/math]
[math]y=-2\left(x+1\right)^{^2}-5[/math]
[size=150]For each function, write the coordinates of the vertex of its graph and tell whether the graph opens up or down.[/size]
Here is a graph that represents y=x².
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[/img][br][br]Describe what would happen to the graph if the original equation were modified as follows:[br][br][math]y=-x^2[/math]
[math]y=3x^2[/math]
[math]y=x^2+6[/math]
Sketch the graph of the equation y=-3x²+6 on the same coordinate plane as y=x².
Here are four graphs. Match each graph with a quadratic equation that it represents.
Noah is going to put $2,000 in a savings account.
[size=150]He plans on putting the money in an account and leaving it there for 5 years. He can put the money in an account that pays 1% interest monthly, an account that pays 6% interest every six months, or an account that pays 12% interest annually.[/size][br][br]Which account will give him the most money in his account at the end of the 5 years?
The table shows some input and output values of function f.
[img]data:image/png;base64,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[/img][br][br]Describe a possible rule for the function by using words or by writing an equation.[br]
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Information: IM Alg1.6.15 Practice: Vertex Form