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ffortunyu

Answered question

2021-11-27

Find two different sets of parametric equations for a rectangular equation

y - x^{2} - 3

Phisecome

Beginner2021-11-28Added 18 answers

Step 1
We have
1)

y = x^{2} - 3

Let

x = t

and put it in equation(1), we get

y = t^{2} - 3

Again, let

x = t^{3}

and put it in equation (1), we get

\Rightarrow y = {(t^{3})}^{2} - 3

\Rightarrow y = t^{6} - 3

Hence, the two different sets of parametric equations are

y = t^{2} - 3

y = t^{6} - 3

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