Question

What is an equation for the translation of y=|x| left 7 units?

Answer 1

y=|x+7|

Explanation:

to move an absolute value equation to the left, all you have to do is add 7 to the inside of the absolute value:

y=|x+7|

We can check that this works, because the x-intercept moved from (0, 0) to (0, -7), meaning that the whole graph got translated 7 units to the left.