AIR MATH

Math Question

A parabola can be represented by the equation \( x^{2}=2 y \). What are the coordinates of the focus and the equation of the directrix?
focus: \( (0,8) \); directrix: \( y=-8 \)
focus: \( \left(0, \frac{1}{2}\right) ; \) directrix: \( y=-\frac{1}{2} \)
focus: \( (8,0) \); directrix: \( x=-8 \)
focus: \( \left(\frac{1}{2}, 0\right) ; \) directrix: \( x=-\frac{1}{2} \)

Solution

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