Find an Equation of Y as a Function of X $$x = 1 - t , \quad y = - 2 t ^ { 2 } , \quad t \geq 0$$

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. $$x = 1 - t , \quad y = - 2 t ^ { 2 } , \quad t \geq 0$$

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