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Types of Graphs By: Kelsey Period 6

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Type of Graph Graphing can be really hard… Graphing can be really hard… Remember…circles have the same number for everything Remember…circles have the same number for everything And elipses are always positive And elipses are always positive Parabalas are or faces, with only one number squared Parabalas are or faces, with only one number squared Hyperbolas turn away from each other and are sad because they are negative Hyperbolas turn away from each other and are sad because they are negative

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Circles x 2 + y 2 = 0 x 2 + y 2 = 0 a=1 b=1 a=1 b=1 Vertices: (1, 0) (-1, 0) Vertices: (1, 0) (-1, 0) Co-vertices: (0,1) (0,-1) Co-vertices: (0,1) (0,-1)

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Elipses x 2 /16 + y 2 /4 =0 x 2 /16 + y 2 /4 =0 A 2 = 16A = +/-4 A 2 = 16A = +/-4 B 2 = 4B = +/-2 B 2 = 4B = +/-2 Vertices: (+/-4,0) Vertices: (+/-4,0) Co-vertices: (0, +/-2) Co-vertices: (0, +/-2)

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Parabolas 5y 2 = 7x 5y 2 = 7x y 2 = -7/5x y 2 = -7/5x y 2 = left/right y 2 = left/right Negative=right Negative=right

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Hyperbolas x 2 /16 -y 2 /4=0 x 2 /16 -y 2 /4=0 A 2 =16A=+/-4 A 2 =16A=+/-4 B 2 =4B=+/-2 B 2 =4B=+/-2 Vertices: (+/-4,0) Vertices: (+/-4,0) Co-Vertices: (0, +/-2) Co-Vertices: (0, +/-2) Asymptote=-b/a Asymptote=-b/a

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9.6 Notes – General Form. Each of the four types of equations we have studied so far this chapter; circle, parabola, ellipse, and hyperbola, can be described.

9.6 Notes – General Form. Each of the four types of equations we have studied so far this chapter; circle, parabola, ellipse, and hyperbola, can be described.

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