Question

if you vertically compress the absolute value parent function f(x)=|x| by a factor of 3 what is the equation of the new function

Answer 1

g(x) = 1/3 |x| !

Explanation:

I hope this helps!

Answer 2

The equation for new function is
`y=(1)/(3)|x|`

Explanation:

We have been given the absolute value parent function f(x) = |x| and this function is vertically compressed by a factor 3.

If we multiply the function with a constant (say a) then the parent function will get stretch/compressed vertically.

We have below conditions for vertical stretch and compression.

a > 1 => vertically stretch

0 < a < 1 => vertically compression

Hence, in order to vertical compression by a factor 3, we have to multiply the whole function by 1/3

Therefore, the equation for new function is
`y=(1)/(3)|x|`