Find an Equation of the Parabola with Focus $\left( \frac { 15 } { 2 } , 0 \right)$

Multiple Choice

Find an equation of the parabola with focus $\left( \frac { 15 } { 2 } , 0 \right)$ and directrix $x = - \frac { 13 } { 2 }$ .

A) $y = \frac { x ^ { 2 } } { 2 } + 14$
B) $y = 28 x ^ { 2 } - 14$
C) $y ^ { 2 } = 14 x - 28$
D) $y = \frac { x ^ { 2 } } { 14 } + 2$
E) $y ^ { 2 } = 28 x - 14$