Question

Which of the following describes how to translate the graph y = lxl to obtain the graph of y = lx - 6l?

shift 6 units up
shift 6 units down
shift 6 units left
shift 6 units right​

Answer 1

To answer your question the graph will go 6 units to the right because the absolute value bar means the "-6" will become +6 so therefore 6 units right.

the pictures show the y=|x| & the y=|x-6|

Answer 2

shift 6 units up

Explanation:

When you are moving the graph from the center, you only have to put a 0 to the X and in that way you can know where is it going to be located

So it will end up like this:

y = lx - 6l= l0 - 6l= 6

So since its the absolute value, and in this case you have to move the graph upwards to the (0,6)