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Answer:
A
Step-by-step explanation:
We are given the function:
And we want to determine its graph.
One of the most important features of a quadratic is its vertex. So, we can start by finding the vertex using the formulas:
In this case, <em>a</em> = 1, <em>b</em> = -6, and <em>c</em> = -7.
Find the <em>x-</em>coordinate of the vertex:
Substitute this back into the equation to find the <em>y-</em>coordinate:
Therefore, our vertex is at (3, -16).
The only graph whose quadratic's vertex is at (3, -16) is Graph A. Thus, our answer is A.