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Writing Equations of Conics

Writing Equations of Conics. From their graphs. Circles. What is the center? (h, k) (-3, 3) What is the radius? r = 4 Plug these values into the formula. Ellipses. What is the center? (h, k) (1, 5) What is the major axis? a= 8 What is the minor axis? b= 4

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Writing Equations of Conics

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  1. Writing Equations of Conics From their graphs

  2. Circles • What is the center? • (h, k) • (-3, 3) • What is the radius? • r = 4 • Plug these values into the formula

  3. Ellipses • What is the center? • (h, k) • (1, 5) • What is the major axis? • a= 8 • What is the minor axis? • b= 4 • Is it vertical or horizontal? • horizontal • Plug these values into the formula

  4. Ellipses • What is the center? • (h, k) • (-2, -4) • What is the major axis? • a= 6 • What is the minor axis? • b= 3 • Is it vertical or horizontal? • vertical • Plug these values into the formula

  5. Hyperbolas • What is the center? • (h, k) • (-5, 0) • What is the transverse axis? • a= 4 • What is the conjugate axis? • b= 3 • Is it vertical or horizontal? • vertical • Plug these values into the formula

  6. Hyperbolas • What is the center? • (h, k) • (0, 0) • What is the transverse axis? • a= 2 • What is the conjugate axis? • b= 4 • Is it vertical or horizontal? • horizontal • Plug these values into the formula

  7. Parabolas • Is it vertical or horizontal? • horizontal • What is the vertex? • (h, k) • (2, 3) • What is the distance from the vertex to the focus? • P= 2 • Use • Plug these values into the formula

  8. Parabolas • Is it vertical or horizontal? • vertical • What is the vertex? • (h, k) • (3, -3) • What is the distance from the vertex to the focus? • P= 3 • Use • Plug these values into the formula

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