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

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

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### Video Transcript

the problem is sketch the curve by using the parametric equations to plot points and you can't always a narrow. It's the direction in which the curve is trist as Team pres is first of a compute. What he is equal to zero and teeth physical. Nick, do you want? Axe is equal to zero. Why is he could need you want connective three when he is equal to zero Axe is a good one. Why is he what zero When he is he got one acts Is it zero? Why is it one? He is too Axe is the go to next three Why is equal to zero Then let's sketch the curve if you want. Who in the year to selective three This is Juan Long One negative three so five plotting points So the curve is as follows On this arrow is the direction in which the clear ofthis trist as tea increases

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#### Topics

Parametric Equations

Polar Coordinates

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