Find a rectangular equation for the plane curve defined by the parametric equations.
-$$x = t + 4 , y = t ^ { 2 }$$
A) $y = x ^ { 2 } - 8 x + 16$
B) $y = \sqrt { x - 4 }$
C) $y = x ^ { 2 } + 16$
D) $y = \sqrt { x } + x + 4$

Question

Quizplus · Accepted Answer

To find a rectangular equation, we eliminate the parameter $t$. From $x = t + 4$, we get $t = x - 4$. Substituting $t$ into $y = t^2$, we get $y = (x - 4)^2 = x^2 - 8x + 16$.

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