Which equation when graphed has a maximum value at x = −2? a) y = −x2 − 20x − 16, b) y = −x2 − 16x − 12, c) y = −4x2 − 20x − 16, d) y = −4x2 − 16x − 12

Option D.

Step-by-step explanation:

using a graphing tool

Graph and determine the vertex in each case

we know that

If the equation has a maximum value at x=-2, then the x-coordinate of the vertex must be  equal to -2 and the parabola open downward

case A)

The vertex is the point

case B)

The vertex is the point

case C)

The vertex is the point

case D)

The vertex is the point -------> is the answer

see the attached figure