Question 1041228
(x+3)^2= -24y+60
(x-h)^2=4p(y-k)
-24y+60=-24(y-2.5)
(x+3)^2=4*(-6)(y-2.5)
focus is (h,k+p) or (-3,-2.5-6) or (-3,-8.5)
directrix is y=(k-p)=2.5-(-6)=8.5
can rewrite as -24y=(x+3)^2-60
divide both sides by -24 and y=(-1/24)(x+3)^2+2.5.  The vertex is (-3,2.5)
The axis of symmetry is at x= -3
{{{graph(300,200,-15,15,-10,10,8.5,(-1/24)(x^2+6x-51))}}}