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What is the rectangular form of the parametric equations? x(t)=t−3,y(t)=2t^2−1, where t is on the interval [−2,2]. Enter your answer, in standard form, by filling in the boxes.

 Jun 4, 2020
 #1
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x = t - 3                    (1)

y = 2*t2 - 1               (2)

 

Rearrange (1):   t = x + 3       (3)

Substitute this into (2):   y = 2*(x+3)2 - 1   or   y = 2x2 + 12x +17

 

To find the interval for x, put -2 and 2 into equation (3).

 Jun 4, 2020

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