What is the average rate of change for this quadratic function for the interval from x=-5 to x=-3?

C 8

Step-by-step explanation:

The average rate of change is given by

f(x2) -f(x1)

x2-x1

x2 = -3  and x1 = -5

Looking at the graph

f(x2) = f(-3) = 1

f(x1)= f(-5) =-15

Substituting these values into the equation

1 - (-15)

-3 - (-5)

1+15

-3 +5

16

2

8

OPTION C.

Step-by-step explanation:

You need to use this formula:

Knowing that we need to find the average rate of change for the given quadratic function, for the interval from to , we need to find their corresponding y-coordinates.

We can observe in the graph that:

For →  

For →

Therefore, substitituting, we get:

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option