Question

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

Answer 1

we are given

parent function as

$y=\frac{1}{x}$

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

$y=f(bx)$

Here, it is compressed by factor 6

so, we can replace x as 6x

and we get

$y=\frac{1}{6x}$

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

Answer 2

Answer:  A.  $Y=\dfrac{1}{6x}$

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 :_

$G(x)=g(kx)$

Given function : $y=\dfrac{1}{x}$

Let  $y=f(x)$

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

$Y=f(6x)=\dfrac{1}{6x}$

Hence, A is the CORRECT answer.