Topics โ€บ Precalculus โ€บ Parametric Equations โ€” Graph and Convert to Rectangular
Precalculus ยท G-GPE

Parametric Equations โ€” Graph and Convert to Rectangular

Parametric equations x = f(t), y = g(t) describe a curve via a parameter t. Eliminate t to get the rectangular equation.

PrecalculusCommon Core HSG-GPE.A.1G-GPEVerified correct โœ“

Worked examples

A curve is defined parametrically by x = t - 3, y = tยฒ. Eliminate the parameter t to find the rectangular equation. Then find the y-coordinate when x = -1. Round to 4 decimal places.
Answer: 4
A curve is defined parametrically by x(t) = 1t + 2, y(t) = 2t + 0. Find the y-coordinate of the point on the curve when t = 3. Round to 4 decimal places.
Answer: 6

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