10-6 Rectangular and Parametric Forms of Conic Sections.

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Presentation transcript:

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: 1)6y2 + 3x -4y -12 = 0 2)3y 2 -2x 2 + 5y –x-15 = 0 3) 9x y 2 – 6x -108x +82 = 0 4) 4x 2 + 4y 2 + 5x +2y – 150 = 0

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

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

Find the parametric equation for the equation y=x 2 + 2