SOLUTION: Classify the conic section and write its equation in standard form. {{{x^2-16x-8y+80=0}}}

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Question 257072: Classify the conic section and write its equation in standard form.
x%5E2-16x-8y%2B80=0
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
This conic section is a parabola. We know because only one term is to the second power.
x%5E2-16x-8y%2B80=0
rewriting we get
-8y+=+-x%5E2+%2B+16x+-+80
by completing the square, we get
-8y+=+-%28x-8%29%5E2+-+16
dividing by -8, we get
y+=+%281%2F8%29%28x-8%29%5E2+%2B+2