Answer
$(a)$ The graph of $f$ is first moved to the right hand side by $3$ units and then moved upward by $2$ units.
$(b)$ The graph of $f$ is reflected about $y$-axis
Work Step by Step
$(a)$ The graph of $f$ is first moved to the right hand side by $3$ units and then moved upward by $2$ units.
$f(x±k)$ represents shifting to the left $(k\gt0)$ or to the right $(k\lt0)$.
$f(x)±k$ represents shifting upward $(k\gt0)$ or downward $(k\lt0)$.
$(b)$ The graph of $f$ is reflected about $y$-axis
Each value of $x$ changes its sign while $y$ stays the same.
