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WZ
Numerade Educator

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Problem 1 Easy Difficulty

Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as $ t $ increases.

$ x = 1 - t^2 $, $ \quad y = 2t - t^2 $, $ \quad -1 \leqslant t \leqslant 2 $

Answer

$$\begin{array}{|c|rrrr|}
\hline t & -1 & 0 & 1 & 2 \\
\hline x & 0 & 1 & 0 & -3 \\
\hline y & -3 & 0 & 1 & 0 \\
\hline
\end{array}$$

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Video Transcript

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