Answer
(a) The graph of $y = f(\vert x \vert)$ is the same as the graph of $f$ for the values of $x$ such that $x\geq 0$. For the values of $x$ such that $x \lt 0$, the graph of $y = f(\vert x \vert)$ is reflected about the y-axis.
(b) We can see the graph of $y = sin~\vert x \vert$ below.
(c) We can see the graph of $y = \sqrt{\vert x \vert}$ below.
Work Step by Step
(a) The graph of $y = f(\vert x \vert)$ is the same as the graph of $f$ for the values of $x$ such that $x\geq 0$. For the values of $x$ such that $x \lt 0$, the graph of $y = f(\vert x \vert)$ is reflected about the y-axis. The graph of $y = f(\vert x \vert)$ is symmetric about the y-axis.
(b) We can see the graph of $y = sin~\vert x \vert$ below.
Note the symmetry about the y-axis.
(c) We can see the graph of $y = \sqrt{\vert x \vert}$ below.
Note the symmetry about the y-axis.
