Question

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

Answer 1

\(f(x)=x^4\implies f(-2x)\)?

Answer 2

these are the choices :
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 3

\(f(-2x)=(-2x)^4=16x^4\)

it opens the same way because they both have a positive coefficient, now we want to see if it's narrower or wider

Answer 4

this might help http://puu.sh/lrcNJ/80c6908af9.png

Answer 5

so it would be c?

Answer 6

I just said they both open the same way

Answer 7

in fact, you can see it in the picture

Answer 8

my bad I meant a

Answer 9

that's correct, sorry if I sounded upset

Answer 10

no its okay I just looked at the last part that's why I accidently said c, but thank you for explaining!

Answer 11

np, feel free to tag me in the future

Answer 12

first post how coot