Find an Equation of Y as a Function of X $$x = - 2 t , \quad y = 6 t ^ { 2 } - 1 , \quad t \in [ - 2,3 ]$$

Multiple Choice

Find an equation of y as a function of x for the parametric equations given below by eliminating the parameter. Also, indicate the direction of the curve. $$x = - 2 t , \quad y = 6 t ^ { 2 } - 1 , \quad t \in [ - 2,3 ]$$

A) $y = \frac { 3 } { 2 } x ^ { 2 } + 1 , x \in ( - \infty , \infty ) \text {, left to right }$
B) $y = \frac { 3 } { 2 } x ^ { 2 } + 1 , x \in ( - \infty , \infty ) \text {, right to left }$
C) $y = \frac { 3 } { 2 } x ^ { 2 } - 1 , x \in ( - \infty , \infty ) \text {, left to right }$
D) $y = \frac { 3 } { 2 } x ^ { 2 } - 1 , - 6 \leq x \leq 4 \text {, right to left }$