Describe in words how the graph of the function g(x) is obtained from the graph of f(x)=2x^2

Question

A. G(x)=2(x-4)^2

B. G(x)= -2x^2

C. G(x)= 6x^2

Answer 1

Greetings! Lets solve this shall we ?

So, we have f(x) = 2x² as the original function or parent function as it is called. We must explain how to get to each function G(x)! So, in

A) G(x) = 2(x-4)² ; .......Function f(x) shifted to the right 4 units. That is the only transformation.

B) G(x) = -2x² ; ........Function f(x) reflected over the x-axis to become G(x). That is the only transformation.

C) G(x) = 6x²; .........Function f(x) was vertically compressed by a factor of 3 to become G(x) by multiplying 3 to f(x) such that f(x) = (3)2x² = G(x) = 6x².

I hope this helped!