Use the graph below for this question:
graph of parabola going through negative 1, 7 and negative 3, 9.
what is the average rate of change from x = −1 to x = −3?
5
−3
1
−1

The correct option is 4. The average rate of change from x = −1 to x = −3 is -1.

Step-by-step explanation:

It is given that the graph of parabola going through (-1,7) and (-3,9).

It means the value of at x=-1 is 7.

The value of at x=-3 is 9.

The slope of a function f(x) for the interval [a,b] is

We have to find the average rate of change from x = −1 to x = −3. Here a=-1 and b=-3. So the average rate of change from x = −1 to x = −3 is

The average rate of change from x = −1 to x = −3 is -1. Therefore the correct option is 4.