Question

Which statement best describes a method that can be used to sketch the graph. y = |x| - 2 a. Translate the graph of y = |x| two units down. b. Translate the graph of y = |x| two units up. c. Translate the graph of y = |x| two units left. d. Translate the graph of y = |x| two units right.

Answer 1

a

Explanation:

Answer 2

The correct option is A. Translate the graph of y = |x| two units down.

Explanation:

The given function is

`y=|x|-2` ....(1)

The transformation of an absolute function is defied as

`y=|x+a|+b` .... (2)

Where, a is horizontal shift and b is vertical shift.

If a>0, then y=|x| shifts a units left and if a<0, then y=|x| shifts a units right.

If b>0, then y=|x| shifts b units up and if b<0, then y=|x| shifts b units down.

On comparing (1) and (2), we get

`a=0,b=-2`

Since b=-2<0, therefore the graph of y = |x| two units down. The correct option is A.