## Algebra 2 Common Core

Transformations of the parent function $f(x)=|x|$: (1) horizontal shift of $10$ units to the left; and (2) vertical shift of $3$ units downward.
RECALL: The graph of $y=|x-h|+k$ involves the following tranformations of the parent function $f(x)=|x|$: (1) a horizontal shift ($h$ units to the right when $h\gt0$, $|h|$ units to the left when $h\lt0$); and (2) a vertical shift ($k$ units upward when $k\gt0$, $|k|$ units downward when $k\lt0$). The given function can be written as: $$y=|x-(-10)|+(-3)$$ The function has $h=-10$ and $k=-3$. Thus, its graph involves the following transformations of the parent function $f(x)=|x|$: (1) horizontal shift of $10$ units to the left; and (2) vertical shift of $3$ units downward.