Answer
Graph $\mathbf{f}$
Work Step by Step
\[\begin{align}
& {{z}^{2}}-{{y}^{2}}-{{x}^{2}}=1 \\
& \text{The graph is in the form }-{{x}^{2}}-{{y}^{2}}+{{z}^{2}}\text{=1 which represents a} \\
& \text{hyperboloid of two sheets.}\\
& \text{The equation matches with the graph }\mathbf{f}\text{.} \\
\end{align}\]
