SOLUTION: Identify the vertex, focus, and directrix of the graph of y=1/12(x+5)^2-3

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Question 743933: Identify the vertex, focus, and directrix of the graph of y=1/12(x+5)^2-3
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Identify the vertex, focus, and directrix of the graph of
y=1/12(x+5)^2-3
rewrite equation to basic form: (x-h)^2=4p(y-k), (h,k)=(x,y) coordinates of the vertex
1/12(x+5)^2=y+3
(x+5)^2=12(y+3)
vertex:(-5,-3)
axis of symmetry: x=-5
4p=12
p=3
focus: (-5,0)
directrix:(-5,-6)

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