Question

Which of the following describes how to translate the graph y = 1xl to obtain the graph of y = lx - 11 - 1?
1)1 unit left and 1 unit down
2)1 unit left and 1 unit up
3)1 unit right and 1 unit down
4)1 unit right and 1 unit up
Please help

Answer 1

Answer:

3)1 unit right and 1 unit down

Step-by-step explanation:

The parent function is

$y = |x|$

This is the base of the absolute value functions.

It has its vertex at the origin.

The transformed function is

$y = |x - 1| - 1$

This absolute value function has its vertex at (1,-1).

This means the parent function has been shifted 1 unit right and 1 unit down to obtain the transformed function.