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Identifying Conics

Identifying Conics. Unit 7.1 Secondary math III. Review of Conics:. Circle. Parabola. Review of Conics:. Ellipse. Hyperbola. General Form Ax 2 +Bxy+Cy 2 +Dx+Ey+F=0. The equation for any conic section can be written in the form:

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Identifying Conics

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  1. Identifying Conics Unit 7.1 Secondary math III

  2. Review of Conics: Circle Parabola

  3. Review of Conics: Ellipse Hyperbola

  4. General FormAx2+Bxy+Cy2+Dx+Ey+F=0 The equation for any conic section can be written in the form: Ax2+Bxy+Cy2+Dx+Ey+F=0, where A, B, and C are not all zero. (When the equation is in standard form, it is much easier to graph)

  5. The Discriminant The equation: B2 - 4AC, is called the discriminant. We use the numbers from the general equation for it. Ax2+Bxy+Cy2+Dx+Ey+F=0 B2 - 4AC

  6. Using the Discriminant to identify the conic. We can use the table below to help identify the equation as either a Circle, Ellipse, Parabola, or hyperbola. Ax2+Bxy+Cy2+Dx+Ey+F=0 Discriminant: B2-4AC

  7. Example 1: Equation: First identify A, B, and C. Remember: Ax2+Bxy+Cy2+Dx+Ey+F=0 Then plug into The equation: B2 - 4AC Remember there is a one in the front if there is no other number. =-7 Lastly, use the table to identify the conic

  8. Example 2: First identify A, B, and C. Remember: Ax2+Bxy+Cy2+Dx+Ey+F=0 Then plug into The equation: B2 - 4AC

  9. Example 3: First identify A, B, and C. Remember: Ax2+Bxy+Cy2+Dx+Ey+F=0

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