Find the Parametric Equations for the Vector-Valued Function $\vec { r } ( t ) = \left\langle \cos ( t ) , t ^ { 2 } - 2 \right\rangle$

Multiple Choice

Find the parametric equations for the vector-valued function $\vec { r } ( t ) = \left\langle \cos ( t ) , t ^ { 2 } - 2 \right\rangle$

A) $x ( t ) = \cos ( t ) , y ( t ) = t ^ { 2 } - 2$
B) $x ( t ) = t ^ { 2 } - 2 , y ( t ) = \cos ( t )$
C) $x ( t ) = - \sin ( t ) , y ( t ) = 2 t$
D) $x ( t ) = 2 t , y ( t ) = - \sin ( t )$