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CONICS. Match the picture to the name. 1.Parabola 2.Circle 3.Ellipse 4.Hyperbola How is each AB CD symmetric?

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Presentation on theme: "CONICS. Match the picture to the name. 1.Parabola 2.Circle 3.Ellipse 4.Hyperbola How is each AB CD symmetric?"— Presentation transcript:

1 CONICS

2 Match the picture to the name. 1.Parabola 2.Circle 3.Ellipse 4.Hyperbola How is each AB CD symmetric?

3 Circle Ellipse Hyperbola Parabola Similar Different

4 Circle Ellipse Hyperbola Parabola All have (x-h) Horizontal shift All have (y - k) Vertical shift All have (h,k) starting point (center or vertex) Both have fractions and equal to 1 a is always the bigger denominator A is always in the first denominator No fractions Only 1 variable squared 4p is the focal width R is the radius a indicates the major axis The variable that is 1 st indicates the direction

5

6 What happens if you…? 1.Let a = b in the ellipse equation? 2.Switch a & b in the ellipse equation? 3.Switch a & b in the hyperbola equation? 4.Switch the fractions in the ellipse equation? 5.Switch the fractions in the hyperbola equation? 6.Switch the variable that is squared for a parabola?

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