Find a rectangular equation for the plane curve defined by the parametric equations.
-$x = \sqrt { t } , y = 2 t + 5$
A) $y = 2 x ^ { 2 } + 5$
B) $y = 2 \sqrt { x } - 5 , x \geq 0$
C) $y = 2 x ^ { 2 } - 5$
D) $y = 2 \sqrt { x } + 5 , x \geq 0$

Question

Quizplus · Accepted Answer

To find a rectangular equation, eliminate the parameter $t$. From $x = \sqrt{t}$, we get $t = x^2$. Substituting $t = x^2$ into $y = 2t + 5$, we get $y = 2x^2 + 5$.

Find a Rectangular Equation for the Plane Curve Defined by the Parametric