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10-6 Rectangular and Parametric Forms of Conic Sections

10-6 Rectangular and Parametric Forms of Conic Sections. ALL conic sections can be written in general form: Ax 2 + Bxy + Cy 2 + Dx + Ey + F = 0 (where A, B, and C are not ALL zero) However, usually B is zero. Identify the type of conic:. 6y2 + 3x -4y -12 = 0

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10-6 Rectangular and Parametric Forms of Conic Sections

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  1. 10-6 Rectangular and Parametric Forms of Conic Sections

  2. ALL conic sections can be written in general form: Ax2 + Bxy + Cy2 +Dx +Ey + F = 0 (where A, B, and C are not ALL zero) However, usually B is zero

  3. Identify the type of conic: • 6y2 + 3x -4y -12 = 0 • 3y2 -2x2 + 5y –x-15 = 0 3) 9x2 + 27y2 – 6x -108x +82 = 0 4) 4x2 + 4y2 + 5x +2y – 150 = 0

  4. Conics can also be written in parametric form. x = f(t) Y= g(t) Graph the equation in parametric form x= 4t2 and y = 3t 2

  5. Write x= 4t2 and y = 3t 2 in rectangular form then identify the curve

  6. Find the parametric equation for the equation y=x2 + 2

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