Answer
The graph for the equation $x=-{{y}^{2}}-4y$.
Work Step by Step
Let the equation $x=-{{y}^{2}}-4y$ be (equation - 1)
$\begin{align}
& y=-\frac{b}{2a} \\
& =-\frac{\left( -4 \right)}{2\cdot \left( -1 \right)} \\
& =-2
\end{align}$
Now for the x value put $y=-2$ in equation (1).
$\begin{align}
& x=-{{\left( -2 \right)}^{2}}-4\cdot \left( -2 \right) \\
& =4
\end{align}$
The vertex is $\left( 4,-2 \right)$.
Now choose some value of x on both sides of the vertex and compute the corresponding y value.
$\begin{matrix}
x & y \\
4 & -2 \\
-5& 1 \\
0 & 0 \\
3 & -1 \\
3 & -3 \\
\end{matrix}$
