Find a set of parametric equations for the rectangular equation.
-$$y = \frac { ( x - 2 ) ^ { 2 } } { 2 }$$
A) $x = t + 2 ; y = \frac { t ^ { 2 } } { 2 }$
B) $x = t ; y = \frac { t ^ { 2 } - 2 } { 2 }$
C) $x = t ^ { 2 } ; y = \frac { t - 2 } { 2 } , x \geq 4$
D) $x = ( t - 2 ) ^ { 2 } ; y = \frac { t } { 2 } , x \geq 0$

Question

Quizplus · Accepted Answer

To convert the given rectangular equation $y = \frac { ( x - 2 ) ^ { 2 } } { 2 }$ into parametric form, let $x = t + 2$. Substituting $x = t + 2$ into the equation gives $y = \frac { t ^ { 2 } } { 2 }$, which matches option A.

Find a Set of Parametric Equations for the Rectangular Equation y=(x−2)22y = \frac { ( x - 2 ) ^ { 2 } } { 2 }y=2(x−2)2​

Find a Set of Parametric Equations for the Rectangular Equation $y = \frac { ( x - 2 ) ^ { 2 } } { 2 }$