The graph represented by the equations $\mathrm{x}={\mathrm{Sin}}^2\mathrm{t}$ and $\mathrm{y}=2 \mathrm{Cos} \mathrm{t}$ is

$$\begin{gathered} \mathrm{Given} \mathrm{x}={\sin }^2\mathrm{t} and \mathrm{y}=2\mathrm{cost} \\ \mathrm{x}=1-{\cos }^2\mathrm{t} and \mathrm{cost}=\mathrm{y}/2 \\ \Rightarrow \mathrm{x}=1-{\mathrm{y}}^2/4 \\ \Rightarrow 4\mathrm{x}=4-{\mathrm{y}}^2 \\ \Rightarrow {\mathrm{y}}^2=-4\mathrm{x}+4 \\ \Rightarrow {\mathrm{y}}^2=-4(\mathrm{x}-1) \\ this represents a \mathrm{parabola} where 0<x<1\Rightarrow -2<y<2 \end{gathered}$$