Find a Rectangular Equation for the Plane Curve Defined by the Parametric

Multiple Choice

Find a rectangular equation for the plane curve defined by the parametric equations.
- $$x = 2 t - 1 , y = t ^ { 2 } + 4 ; - 4 \leq t \leq 4$$

A) $y = - \frac { 1 } { 2 } x + 30$ ; for $x$ in $- 6 \leq x \leq 4$
B) $y = \frac { 1 } { 2 } x ^ { 2 } + 1$ ; for $x$ in $- 6 \leq x \leq 4$
C) $y = x ^ { 2 } + 1 ;$ for $x$ in $- 2 \leq x \leq 2$
D) $y = \frac { 1 } { 4 } x ^ { 2 } + \frac { 1 } { 2 } x + \frac { 17 } { 4 } ;$ for $x$ in $- 9 \leq x \leq 7$