OniJay
contestada

Which results only in a horizontal compression of y=1/x by a factor of 6

A. Y=1/6x
B. Y= -1/6x
C. Y=6/x
D. Y= -6/x

Respuesta :

we are given

parent function as

[tex]y=\frac{1}{x}[/tex]

Suppose, we are given a function y=f(x) is compressed horizontally by ''b'' units

where b>1

so, we can write as

new function as

[tex]y=f(bx)[/tex]

Here, it is compressed by factor 6

so, we can replace x as 6x

and we get

[tex]y=\frac{1}{6x}[/tex]

so, option-A.........Answer

JeanaShupp

Answer:  A.  [tex]Y=\dfrac{1}{6x}[/tex]

Step-by-step explanation:

When a graph with a function g(x) is horizontal compressed by a scale factor of k>1, then the new function of the compressed graph becomes :_

[tex]G(x)=g(kx)[/tex]

Given function : [tex]y=\dfrac{1}{x}[/tex]

Let  [tex]y=f(x)[/tex]

When is is compressed by a scale factor of 6 , then the new function will become to represent the compressed graph:_

[tex]Y=f(6x)=\dfrac{1}{6x}[/tex]

Hence, A is the CORRECT answer.

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