Find a Set of Parametric Equations for the Rectangular Equation $y = 4 x ^ { 2 } \text { that satisfies }$

Multiple Choice

Find a set of parametric equations for the rectangular equation $y = 4 x ^ { 2 } \text { that satisfies }$ the condition $t = 2$ at the point $( 2,16 )$ .

A) $x = t + 2 , y = 8 t + 16$
B) $x = t , y = 8 t$
C) $x = t + 2 , y = 4 t ^ { 2 } + 16 t + 16$
D) $x = t , y = 4 t$
E) $x = t , y = 4 t ^ { 2 }$