Question

Which of the following equations is the translation 2 units left of the graph of y = |x|?

y = |x + 2|
y = |x - 2|
y = |x| - 2

Answer 1

option 1

Explanation:

Answer 2

The correct option is 1.

Explanation:

The given function is

`y=|x|`

It is an absolute function. The transformation of function is defined as

`y=|x+a|+b`

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

If a>0, then graph shifts a units left, if a<0, then graph shifts a units right.

If b>0, then graph shifts b units up, if b<0, then graph shifts b units down.

If is given that the graph translate 2 units left. Therefore the value of a is 2 and the value of b is 0.

The required function is

`y=|x+2|+0`

`y=|x+2|`

Therefore the correct option is 1.