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Question

# Consider the following parametric equations. Describe the curve.$x = t ^ { 3 } - 1$, y=5t+1;$- 3 \leq t \leq 3$

Solution

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From the left side, there is a graph with black arrows which shows $\textbf{positive orientation}$.

As parametar $t$ grows, $x$ and $y$ coordinates also grow.

All this is a reason why the curve unfolds upward and to the right.

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