SOLUTION: What is the equation of the directrix for the conic section x^2=24y?

 

Hi,

Standard forms for conics are a 'need to know'

What is the equation of the directrix for the conic section x^2=24y?

the vertex form of a Parabola opening up(a>0) or down(a<0)is  

where(h,k) is the vertex  and  x = h  is the Line of Symmetry

The standard form is , where  the focus is (h,k + p)

and y = -(k+p) is the directrix

x^2=24y, V(0,0),  focus is (0,6) AND DIRECTRIX IS  y = -6