Answer
Parabola.
Work Step by Step
$y={{x}^{2}}-5$
It is written as:
$\begin{align}
& {{x}^{2}}=y+5 \\
& {{\left( x-0 \right)}^{2}}=4\left( \frac{1}{4} \right)\left( y+5 \right)
\end{align}$
Compare the above equation with the standard form of a parabola ${{\left( x-h \right)}^{2}}=4a\left( y-k \right)$.
Thus, it is a parabola equation.
The graph of the parabola $y={{x}^{2}}-5$ is given below:
