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10.1 Identifying the Conics. Ex 1) Graph xy = 4 Solve for y: Make a table: xy 2 4 8 1 1 ½ 4 2 -4 -8 -½ -4 -2 Doesn’t touch y -axis Doesn’t touch x -axis.

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Presentation on theme: "10.1 Identifying the Conics. Ex 1) Graph xy = 4 Solve for y: Make a table: xy 2 4 8 1 1 ½ 4 2 -4 -8 -½ -4 -2 Doesn’t touch y -axis Doesn’t touch x -axis."— Presentation transcript:

1 10.1 Identifying the Conics

2 Ex 1) Graph xy = 4 Solve for y: Make a table: xy 2 4 8 1 1 ½ 4 2 -4 -8 -½ -4 -2 Doesn’t touch y -axis Doesn’t touch x -axis x -axis and y -axis are Asymptotes! It’s a …. Hyperbola!!

3 Conic Sections

4 Identifying Conic from Equation Parabola: Circle: Ellipse: Hyperbola: Line: Only 1 squared term 2 squared terms, (+) & Coeff = 2 squared terms, (+) & Coeff ≠ 2 squared terms, (–) No squared terms 1 OR xy = #

5 Examples Circle Parabola Ellipse Hyperbola 1 Line 1 1 1

6 T.O.O. Examples Parabola Circle Hyperbola Ellipse Line Hyperbola

7 Homework Pg. 618 #7 – 21 identify only 22-33 identify and match

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