SOLUTION: Find (h,k) of the parabola x^2 - 2x - 8y - 15 = 0.

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Question 1082150: Find (h,k) of the parabola x^2 - 2x - 8y - 15 = 0.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Find (h,k) of the parabola x%5E2+-+2x+-+8y+-+15+=+0:
%28x%5E2+-+2x%29+-+8y+-15+=+0..........complete squares
%28x%5E2+-+2x%2Bb%5E2%29-b%5E2+-+8y+-15+=+0
%28x%5E2+-+2x%2B1%5E2%29-1%5E2+-15=8y+
%28x-1%29%5E2-1+-15=8y+
%28x-1%29%5E2-16=8y+
%28x-1%29%5E2%2F8-16%2F8=y+
y=%281%2F8%29%28x-1%29%5E2-2+...-> h=1 and k=-2
so, vertex is at (1,-2)