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Question

Find the vertex, axis, focus, directrix,lastusrectum of the parabola. x22x+4y+9=0

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Solution

x22x+4y+9=0
(x22x+1)+4y+8=0
(x1)2+4(y+2)=0
(x1)2=4(y+2)
(x1)2=4(y2)
Vertex :- (x1)2=0
(y2)=0
Vertex:- \left(1,-2\right)
Axis (x1)2=0
x=1
Direction :- y2=1
y=1
Latus rectum 4


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