SOLUTION: Can you please help me with this problem. The directions say find the vertex, focus, and directrix equation of the parabola. {{{y^2-8x-6y-3=0}}}

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Can you please help me with this problem. The directions say find the vertex, focus, and directrix equation of the parabola. {{{y^2-8x-6y-3=0}}}      Log On


   

Question 196962This question is from textbook
: Can you please help me with this problem.
The directions say find the vertex, focus, and directrix equation of the parabola.
y%5E2-8x-6y-3=0 This question is from textbook

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
8x=%28y%5E2-6y%2B9%29-9-3
:
8x%2B12=%28y-3%29%5E2
:
x%2B3%2F2=%281%2F8%29%28y-3%29%5E2
:
vertex is at (-3/2,3)
:
1%2F4p=1%2F8
:
4p=8--->p=2
:
we know this opens to the right
:
directrix is at x=-7/2
:
focus is at (1/2,3)