Sketch a possible parametric curve defined by the following table of values. $$\begin{array} { | l | c c c c c c c c c | }
\hline t & 0 & \frac { \pi } { 4 } & \frac { \pi } { 2 } & \frac { 3 \pi } { 4 } &{ \pi } & \frac { 5 \pi } { 4 } & \frac { 3 \pi } { 2 } & \frac { 7 \pi } { 4 } & 2 \pi \
\hline x & 2 & \sqrt { 2 } & 0 & - \sqrt { 2 } & - 2 & - \sqrt { 2 } & 0 & \sqrt { 2 } & 2 \
\hline y & 0 & \sqrt { 2 } & - 2 & \sqrt { 2 } & 0 & - \sqrt { 2 } & 2 & - \sqrt { 2 } & 0 \
\hline
\end{array}$$

Question

Sketch a possible parametric curve defined by the following table of values. $$\begin{array} { | l | c c c c c c c c c | } 
\hline t & 0 & \frac { \pi } { 4 } & \frac { \pi } { 2 } & \frac { 3 \pi } { 4 } &{ \pi } & \frac { 5 \pi } { 4 } & \frac { 3 \pi } { 2 } & \frac { 7 \pi } { 4 } & 2 \pi \
\hline x & 2 & \sqrt { 2 } & 0 & - \sqrt { 2 } & - 2 & - \sqrt { 2 } & 0 & \sqrt { 2 } & 2 \
\hline y & 0 & \sqrt { 2 } & - 2 & \sqrt { 2 } & 0 & - \sqrt { 2 } & 2 & - \sqrt { 2 } & 0 \
\hline
\end{array}$$

Quizplus · Accepted Answer

The Answer of Sketch a possible parametric curve defined by the following table of values. $$\begin{array} { | l | c c c c c c c c c | } 
\hline t & 0 & \frac { \pi } { 4 } & \frac { \pi } { 2 } & \frac { 3 \pi } { 4 } &{ \pi } & \frac { 5 \pi } { 4 } & \frac { 3 \pi } { 2 } & \frac { 7 \pi } { 4 } & 2 \pi \
\hline x & 2 & \sqrt { 2 } & 0 & - \sqrt { 2 } & - 2 & - \sqrt { 2 } & 0 & \sqrt { 2 } & 2 \
\hline y & 0 & \sqrt { 2 } & - 2 & \sqrt { 2 } & 0 & - \sqrt { 2 } & 2 & - \sqrt { 2 } & 0 \
\hline
\end{array}$$

Sketch a Possible Parametric Curve Defined by the Following Table