Respuesta :
Vertical stretch/compression is achieved by multiplying the function by a certain constant:
[tex] f(x) \to k\cdot f(x) [/tex]
In particular, if [tex] k>1 [/tex] the function is vertically stretched by a factor k, otherwise, if [tex] 0 < k < 1 [/tex], the function is vertically compressed by a factor k.
So, in your case, you want to multiply the function by 1/4:
[tex] |x| \to \dfrac{1}{4}|x| [/tex]
The equation of the new function is g(x) = (1/4)|x| if the you vertically compress the absolute value parent function, f(x) = |x|, by a factor of 4
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
f(x) = |x|
The transformation: Vertically compress by a factor of 4
The new function:
g(x) → (1/4)f(x)
g(x) = (1/4)|x|
Thus, the equation of the new function is g(x) = (1/4)|x| if the you vertically compress the absolute value parent function, f(x) = |x|, by a factor of 4
Learn more about the function here:
brainly.com/question/5245372
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