Find an Equation of Y as a Function of X $$x = \cos ^ { 2 } t , \quad y = 3 \sin ^ { 2 } t , \quad t \in \left[ 0 , \frac { \pi } { 2 } \right]$$

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. $$x = \cos ^ { 2 } t , \quad y = 3 \sin ^ { 2 } t , \quad t \in \left[ 0 , \frac { \pi } { 2 } \right]$$

A) $y = 3 - 3 x , \quad 0 \leq x \leq 1 \text {, left to right }$
B) $y = 3 + 3 x , \quad 0 \leq x \leq 1 , \quad \text { left to right }$
C) $y = 3 - x , \quad 0 \leq x \leq 1 \text {, left to right }$
D) $y = 3 - 3 x , \quad 0 \leq x \leq 1 \text {, right to left }$