math pre calculus 12

Question

Given the coordinates (2,-8) are on the graph of y = f(x) what would the coordinates be after the following transition? y = 2f(3(x-4))+2

Answer 1

Analyzing the transformations:

x values will be shifted to the right 4 units

the horizontal values will be shrunk by a factor of 3

the amplitude will be multiplied by 2

The vertical shift will be up 2 units

Looks like f(x) = -2x²

g(x) - 2(-2(3(x-4))²) + 2 = -36(x-4)²+2

New coordinates: (2, -142)