Identify the curve represented by the following parametric equations y = cotØ + 1 and x = cot² Ø

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- Mar 15th 2007, 11:27 PMcazimiCurve
Identify the curve represented by the following parametric equations y = cotØ + 1 and x = cot² Ø

- Mar 16th 2007, 05:08 AMCaptainBlack
- Mar 16th 2007, 09:49 AMSoroban
Hello, cazimi!

Quote:

Identify the curve represented by: .y = cotθ + 1 .and .x = cot²θ

Rearrange the first equation: .cotθ .= .y - 1

Substitute into the second equation: .x .= .(y - 1)²

We have: .(y - 1)² .= .x

This is a parabola with vertex (0,1) which open to the right.