Answer
Parabola
Work Step by Step
$x={{y}^{2}}+2y$
$\begin{align}
& x={{y}^{2}}+2y+1-1 \\
& x={{\left( y+1 \right)}^{2}}-1 \\
\end{align}$
Now compare this with the standard equation of a parabola, $x=a{{\left( y-k \right)}^{2}}+h$, where $\left( h,k \right)$ is the vertex.
Thus, the above equation represents a parabola with the vertex at$\left( -1,-1 \right)$.
To draw the graph, choose some values of x and compute the corresponding y values.
$\begin{matrix}
x & y \\
0 & 0 \\
0 & -2 \\
-1 & -1 \\
8 & 2 \\
\end{matrix}$
Now plot all the points.
