Answer
Graph $\mathbf{c}$
Work Step by Step
\[\begin{align}
& z={{x}^{2}}+{{y}^{2}} \\
& \text{The graph is of the form }z={{z}^{2}}+{{y}^{2}}\text{ represents a paraboloid.} \\
& \text{The equation matches with the graph }\mathbf{c}\text{.} \\
\end{align}\]