Question

Describe how the graph of y=lxl – 7 is like the graph of y=lxl and how it is different.

Answer 1

It's translated edition of parent function y=|x|

• y=|x|

If we translate it 7units down then the function is

• y=|x|-7

So

Everything is same

Just the graph shifted 7units downwards

Answer 2

y = |x| is a parent function

y = |x| - 7 is a translation of the parent function vertically by 7 points down

The shape is same, just the entire graph has shifted down.