Question

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

Answer 1

Answer:

The correct option is 3.

Step-by-step 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).

$1=|b(2)|$

$\frac{1}{2}=b$

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

Thus, the correct option is 3.

Answer 2

Answer:

C.

Step-by-step explanation: