Question

Which function is a horizontal compression of its parent function f(x)=x^7 by a factor of 4?

a - q(x)=(1/4 x)^7
b - r(x)=(4x)^7
c - s(x)=4x^7
d - t(x)=1/4 x^7

i think it’s B; please check my answer

Answer 1

B is the correct answer. If you're doing the quickcheck its CACB

Answer 2

The function given to us is :
`f(x) = {(x)^7}`

We want to see which function represents the horizontal compression of f(x) by a factor of 4

We can compress a function horizontally by multiplying the x by a constant number, in this case multiplying x by 4

So horizontal compression of
`f(x) = {(4*x)^7}`

This matches with the option B =
`r (x) = {(4*x)^7}`

Hence, your answer (B) is correct.