SOLUTION: Write the equation in vertex form for the parabola with focus (0, 6) and directrix y= -10

 

Hi,

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

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)

With Directrix y = -(k+p)

focus (0,6) and directrix y= -10,  p =   4p = 32

  y = (1/32)x^2 -2