QuestionDefine the function $g(x)$ based on the graph of $f(x)=|x|$ shifted left 1 unit and down 9 units.

Studdy Solution
Since the original function $f(x)$ is the absolute value function, we can replace $f(x -1)$ with $|x -1|$.
$$g(x) = |x -1| -9$$So, the equation for the function whose graph is the graph of $f(x)=|x|$, but shifted one unit to the left and nine units down is $g(x) = |x -1| -9$.