Question

Write the equation that is the translation of y = |x| left 1 unit and up 2 units.

Answer 1

If you think of the absolution function like this:
\(y = a|x-h|+k\)
then \(h\) is positive if you move right
\(h\) is negative if you move left

\(k\) is positive if you move up
\(k\) is positive if you move down

\(a\) is a number that stretches or compresses the graph, and the sign of it will determine if it's reflected or not. But no need to worry about this number here.