Question

Write the curve in a pair of parametric equations

Answer 1

\[\frac{ (y+4)^2 }{ 25 }-\frac{ (x-1)^2 }{ 4 }=1\]

Answer 2

http://orion.math.iastate.edu/trig/sp/xs08/supp/parametrics/parametrichyperbola.jpg

so let \[\large y=-4 + 5\sec t\]
\[\large x= 1 + 2 \ \tan t \]