Question

Which of the following is a horizontal stretch of the parent function?

Answer 1

C.

Explanation:

Answer 2

The correct option is 3.

Explanation:

The parent function is

`f(x)=|x|`

The horizontal stretch and compression is defined as

`g(x)=|bx|`

If 0<b<1, then it is horizontal stretch and if b>1, then it is horizontal compression.

Graph 1 passing thought the point (1,-1).

`-1=|b(1)|`

This statement is false for any value of b, because the value of modulus can not be negative.

Graph 2 passing thought the point (1,2).

`2=|b(1)|`

`2=b`

Since b>1, therefore this graph represent the horizontal compression.

Graph 3 passing thought the point (2,1).

`1=|b(2)|`

`(1)/(2)=b`

Since 0<b<1, therefore this graph represent the horizontal stretch.

Thus, the correct option is 3.