Which of the following graphs is described by the function given below?
y = x2 - 6x-7 ​

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, a = 1, b = -6, and c = -7.

Find the x-coordinate of the vertex:

Substitute this back into the equation to find the y-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.

goog may have it for you

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.