Tempestt graphs a function that has a maximum located at (–4, 2)

=> for x = – 4 , the y = 2 is the maximum value
hence ( – 4 , 2) is the vertex
hence every point on graph would be less than 2 on y – axis for any x

It goes through (- 6, 6), has a vertex at (- 4, 2), and goes through -2, 6).
not possible as y = 6 > 2

It goes through (2, 6), has a vertex at (4, 2), and goes through (6, 6).
not possible as y = 6 > 2
it goes through (-6, -2), has a vertex at (- 4, 2), and goes through (-2, -2).
vertex (-4 , 2)
y < 2

This Could be her Graph

It goes through (2, -2), has a vertex at (4, 2), and goes through (6, -2).
not possible as vertex here is (4 , 2) instead of (-4,2)

Her Graph

On a coordinate plane, a parabola opens down it goes through (-6, -2), has a vertex at (- 4, 2), and goes through (-2, -2).