tempest graphs a function that has a maximum located at (-4, 2). which could be her graph?

Explanation:

Step1: Recall maximum - point property

A function has a maximum point $(x,y)$ where the $y$ - value is the highest in the vicinity of the $x$ - value.

Step2: Analyze given point

The maximum is at $(-4,2)$. This means the graph should have a peak at $x = - 4$ with $y=2$.

Step3: Check graphs

The given graphs are not fully shown, but we know that the correct graph should have a high - point at the coordinates $(-4,2)$. A parabola opening downwards would have a maximum. Since the point $(-4,2)$ represents a maximum, the graph should have a peak at $x=-4$ with $y = 2$. Without seeing all the options, we assume the graph with a peak (vertex) at the point $(-4,2)$ is the correct one.

Since the graphs are not fully visible in the provided image, we cannot give a definite visual answer. But conceptually, the graph of a function with a maximum at $(-4,2)$ should have a highest point at the $x=-4$ and $y = 2$ coordinates. If we had to choose from typical function graphs, it would be a graph (such as a parabola $y=a(x + 4)^2+2$ with $a<0$) that has its vertex at $(-4,2)$.