11'6 Classifying Conics

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11.6 Classifying Conics

• If the equation has either x2 or y2, but not
  both, it is a parabola.
• If the equation has both positive x2 and y2, with
  the same coefficients, it is a circle.
• If the equation has both positive x2 and y2, with
  the different coefficients, it is an ellipse.
• If the equation has both x2 and y2 with the
  different coefficients, and one of them is
  negative, it is a hyperbola.
• Remember when completing the square if the
  coefficient in front of the squared term is not
  1, factor that term out.
• Also, when graphing draw the new axis through the
  center.

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Parabola
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Circle
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Ellipse
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Hyperbola