If you vertically compress the absolute value parent function, f(x) = x1, by a factor of 4, what is the equation of the new function?
O A. g(x) = (x-41
B. g(x) = 1
O C. g(x) = 14x1
O (
D. g(x) = 411

Step-by-step 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

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