Function Transformation - Determine three point that lie on the graph of y=g(x)

Question

The points (-12, 6), (0, 8), and (8, -4) lie on a graph of y=f(x). Determine three points that lie on the graph of y=g(x).

g(x) = (1/2)f(x-2)+1

Answer 1

You are given f(x) for x = -12, 0, and 8

f(-12) = 6

f(0) = 8

f(8) = -2

Therefore you are also given f(x-2) for x = -10, 2, 10.

g(-10) = (1/2)f(-10-2) + 1 = (1/2)×6 + 1 = 4

g(2) = (1/2)f( 2-2) + 1 = (1/2)×8 + 1 = 5

g(10) = (1/2)f( 10-2) +1 = (1/2)×(-2) + 1 = 0