Answer
The equation in the example is symmetric with respect to the $x\text{-axis}$.
Work Step by Step
To verify that the equation is symmetric with respect of the $x\text{-axis}$ , we will substitute $y=-y$ in the above equation. If after putting $y=-y$, the resultant equation is the same as the given equation, then the equation is symmetric with respect to the $x\text{-axis}$.
$\begin{align}
& {{y}^{2}}=x+2 \\
& {{\left( -y \right)}^{2}}=x+2\text{ } \\
& {{y}^{2}}=x+2
\end{align}$
Since the resultant equation is the same as the given equation, the equation is symmetric with respect to the $x\text{-axis}$.
