Find the Standard Form of the Equation of the Parabola $\left( 0 , \frac { 1 } { 2 } \right)$

Multiple Choice

Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. Focus: $\left( 0 , \frac { 1 } { 2 } \right)$

A) $x ^ { 2 } = \frac { 2 } { 4 } y$
B) $y ^ { 2 } = \frac { 2 } { 4 } x$
C) $y ^ { 2 } = \frac { 4 } { 2 } x$
D) $x ^ { 2 } = \frac { 4 } { 2 } y$
E) $y ^ { 2 } = x$