If triangle ABC is defined by the coordinates A(-4,-4), B(2,-2), C(0,4) is dilated by a scale factor of 1/2, with resulting vertex A’ at (-2,-2). What is the center of the dilation? A. (0,0)
B. (0,2)
C. (0,4)
D. (-4,-4)

Describe how to determine the average rate of change between x = 4 and x = 6 for the function f(x) = 2x^3 + 4. include the average rate of change in your answer.

Xf(x) = 2x + 5 1 7 2 9 3 11 4 13 5 15 6 17 linear functions grow by equal differences over equal intervals. in the table above, what column could be added to prove this relationship?

A. plot the data for the functions ƒ(x) and g(x) on a grid. b. identify each function as linear, quadratic, or exponential, and use complete sentences to explain your choices. c. describe what happens to the function values in each function as x increases from left to right. d. at what value(s) of x are the function values equal? if you cannot give exact values for x, give estimates.