Question

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

Answer 1

Answer: A.
`Y=(1)/(6x)`

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=(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)=(1)/(6x)`

Hence, A is the CORRECT answer.

Answer 2

we are given

parent function as

`y=(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=(1)/(6x)`

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