Question

Use the graph below to answer the following question: graph of parabola going through negative 1, 1, and 1, negative 3 What is the average rate of change from x = –1 to x = 1?

Answer 1

We are given that

points through which parabola is passing

(-1,1)  and (1,-3)

so, we have

x1=-1 ,y1=1

x2=1 , y2=-3

we can find average rate of change by using formula

$A=\frac{y_2-y_1}{x_2-x_1}$

now, we can plug values

$A=\frac{-3-1}{1+1}$

$A=\frac{-4}{2}$

$A=-2$

So, the average rate of change from -1 to 1 is -2...........Answer