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

Answer:

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

Step-by-step 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.

Answer 2

Answer:

a

Step-by-step explanation: