Find an Equation of Y as a Function of X $$x = - 2 t - 1 , \quad y = 3 t ^ { 2 } + 2 , \quad t \in ( - \infty , \infty )$$

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. $$x = - 2 t - 1 , \quad y = 3 t ^ { 2 } + 2 , \quad t \in ( - \infty , \infty )$$

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