## The correct answer for Tempestt graphs a function that has a maximum located at (–4, 2).

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

To find : Which could be her graph

Solution:

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).