SOLUTION: y^2=-4x For the above, find the following: 1. Find the vertex 2. Find the focus 3. Find the directrix.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: y^2=-4x For the above, find the following: 1. Find the vertex 2. Find the focus 3. Find the directrix.      Log On


   

Question 113989: y^2=-4x
For the above, find the following:
1. Find the vertex
2. Find the focus
3. Find the directrix.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
y%5E2=-4x
Convert this to the standard equation for a parabola %28y-k%29%5E2=4p%28x-h%29 that has a vertex at (h,k), focus at (h+p,k), and directrix at x = -p

%28y-0%29%5E2=4%28-1%29%28x-0%29
So, k = 0, h = 0, and p = -1

1. Vertex: (0, 0)
2. Focus: (-1,0)
3. Directrix: x=1