Answer: OPTION C.
Step-by-step explanation:
You need to use this formula:
[tex]averate\ rate\ of\ change=\frac{f(b)-f(a)}{b-a}[/tex]
Knowing that we need to find the average rate of change for the given quadratic function, for the interval from [tex]x=-5[/tex] to [tex]x=-3[/tex], we need to find their corresponding y-coordinates.
We can observe in the graph that:
For [tex]x=b=-5[/tex] → [tex]y=f(b)=-15[/tex]
For [tex]x=a=-3[/tex] → [tex]y=f(a)=1[/tex]
Therefore, substitituting, we get:
[tex]averate\ rate\ of\ change=\frac{-15-1}{-5-(-3)}=8[/tex]
