This table shows values that represent a quadratic function. What is the average rate of change for this quadratic function for the interval
from x= 1 to x= 3?

D. -4

Step-by-step explanation:

Using the general formula, , average rate of change for the quadratic function from x = 1 to x = 3, can be calculated as shown below:

Where,

Plug in the above values in the average rate of change formula:

Average rate of change is D. -4

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18