Question

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

Answer 1

`r(x)=(4x)^7`

Explanation:

• For a horizontal compression, we multiply whole numbers greater than 1 in front of
  `x` of the given function.
• For horizontal expansion, we multiply by the reciprocal of the number for horizontal compression, in front of
  `x` of the function.

For example,

If we wanted to horizontally compress
`y=x^2`, we would multiply by 4 to get
`y=(4x)^2`, and

if we wante to horizontally expand
`y=x^2`, we would multiply by
`(1)/(4)` to get
`y=((1)/(4)x)^2`

Since this question asks for horizontal compression, we multiply the
`x` of the function by 4. So the function we need is
`f(x)=(4x)^7`. The second choice is correct.