The function f(x)=logx is transformed into the equation f(x)=log(1/4x).


Select from the drop-down menus to correctly identify the parameter and the effect the parameter has on the parent function.


The function ​ f(x)=log(1/4x)​ is a..

(HORIZONTAL STRETCH or HORIZONTAL COMPRESSION) of the parent function by a factor of.. (0.25 or 1 or 4)

Respuesta :

Answer:

Given the parent function: [tex]f(x) =\log x[/tex]

Rule for Horizontal Stretches and Compression:

If parent function y=f(x), then y=f(cx) gives a horizontal stretch when  c >1 and

a horizontal compression when 0<c<1.


therefore, by above definition

the function f(x) = [tex]\log(\frac{1}{4}x)[/tex] is a Horizontal compression by a factor of [tex]c =\frac{1}{4} = 0.25 <1[/tex]

therefore, the function  f(x) = [tex]\log(\frac{1}{4}x)[/tex] is HORIZONTAL COMPRESSION of the parent function by a factor of 0.25

Answer:

Horizontal stretch by 4

Step-by-step explanation:

I got it right.

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