SOLUTION: Explain how to tell from a quadratic equation what type of conic section the equation represents without graphing it.

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Question 417514: Explain how to tell from a quadratic equation what type of conic section the equation represents without graphing it.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Explain how to tell from a quadratic equation what type of conic section the equation represents without graphing it.
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Parabola: Either x or y is squared, but not both.
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Circle: Both x and y are squared and both have the same coefficient
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Ellipe: Both x and y are squared but the coefficients are same sign
but different.
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Hyperbola: Both s and y are squared but the coefficients are not
the same sign.
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Cheers,
Stan H.