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10. Parametric Equations

Eliminate the Parameter

10. Parametric Equations

Eliminate the Parameter: Study with Video Lessons, Practice Problems & Examples

4PRACTICE PROBLEM

Given the parametric equations of a hyperbola: $x=2+3\sec(t),y=-1+4\tan(t),$ eliminate the parameter $t$ and write the resulting equation in standard form.

ANSWERS OPTIONS

$\frac{\left(x-2\right)^2}{16}-\frac{\left(y+1\right)^2}{9}=1$

$\frac{\left(x-2\right)^2}{9}+\frac{\left(y+1\right)^2}{16}=1$

$\frac{\left(x-2\right)^2}{9}-\frac{\left(y+1\right)^2}{16}=1$

$\frac{\left(x-2\right)^2}{16}+\frac{\left(y+1\right)^2}{9}=1$