Question

Given the parent function of f(x) = x4, what change will occur when the function is changed to f(-2x)?

Answer 1

Graph opens the same way and is narrower

Graph opens the same way and is wider

Graph opens the opposite way and is narrower

Graph opens the opposite way and is wider

Answer 2

What do you think?
We're talking about horizontal stretching/shrinking here. any chance you could look that up in your textbook or online?

Answer 3

\(\bf f(x) = {\color{red}{ x}}^4\qquad f({\color{red}{ -2x}})=({\color{red}{ -2x}})^4\implies f({\color{red}{ -2x}})=(-2)^4(x)^4\)

what do you think?