Select the Standard Form of the Equation of the Parabola $x ^ { 2 } = \frac { 5 } { 2 } y$

Multiple Choice

Select the standard form of the equation of the parabola and determine the coordinates of the focus.

A) $x ^ { 2 } = \frac { 5 } { 2 } y$ ; Focus: $\left( 0 , \frac { 5 } { 8 } \right)$
B) $y ^ { 2 } = - \frac { 5 } { 2 } x$ ; Focus: $\left( - \frac { 5 } { 8 } , 0 \right)$
C) $x ^ { 2 } = - \frac { 5 } { 2 } y$ ; Focus: $\left( 0 , - \frac { 5 } { 8 } \right)$
D) $y ^ { 2 } = \frac { 5 } { 2 } x$ ; Focus: $\left( \frac { 5 } { 8 } , 0 \right)$
E) $y ^ { 2 } = \frac { 5 } { 2 } x$ ; Focus: $( 5,0 )$