I am struggling with how to start this problem.

The following points are on the graph of: y=f(x)

Use theorem to identify the corresponding points on the transformed functions.

y = 2f(x-3)-2

2 answers

point will be in the y twice as high but -2 lower, and each x will be shifted right 3
I forgot to add the points on the graph of y=f(x):

(-5,0),(-2,2),(0,0),(2,-4) and (4,0)

y = 2f(x-3)-2