Answer:

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.

f(-1)=7

The value of at x=-3 is 9.

f(-3)=9

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

m=frac{f(b)-f(a)}{b-a}

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

m=frac{f(-3)-f(-1)}{-3-(-1)}

m=frac{9-7}{-3+1}

m=frac{2}{-2}

m=-1

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