SOLUTION: Given the Parabola: x^2+2y+2=0 A. find the vertex B. find the focus C. Find the directrix D. graph the function THANKS!

Question 181825: Given the Parabola: x^2+2y+2=0
A. find the vertex
B. find the focus
C. Find the directrix
D. graph the function
THANKS!
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
Given the Parabola: x^2+2y+2=0
A. find the vertex
B. find the focus
C. Find the directrix
D. graph the function
:

:
vertex is at (0,-1) (h,k)
:
4p=-2-->p=-1/2
:
to get focus coordinates-subtract p from k( the vertex's y coordinate) to find the focus's y coordinate.....the x coordinate is h(the vertex's x coordinate)
:
directrix for vertical parabola is y=k-p
:
focus(0,-1-1/2)-->(0,-3/2)
:
directrix(y=-1+1/2)--->y=-1/2
:

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