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Hyperbola – a set of points in a plane whose difference of the distances from two fixed points is a constant. Section 7.4 – The Hyperbola.

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Presentation on theme: "Hyperbola – a set of points in a plane whose difference of the distances from two fixed points is a constant. Section 7.4 – The Hyperbola."— Presentation transcript:

1 Hyperbola – a set of points in a plane whose difference of the distances from two fixed points is a constant. Section 7.4 – The Hyperbola

2 Q Hyperbola – a set of points in a plane whose difference of the distances from two fixed points is a constant. 

3 Section 7.4 – The Hyperbola Transverse axis – the line that contains the foci and goes through the center of the hyperbola. Conjugate axis – the line that is perpendicular to the transverse axis and goes through the center of the hyperbola. Conjugate axis Center – the midpoint of the line segment between the two foci. Center 

4 Section 7.4 – The Hyperbola

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9 Identify the direction of opening, the coordinates of the center, the vertices, and the foci. Find the equations of the asymptotes and sketch the graph. Vertices of transverse axis: Equations of the Asymptotes Foci     

10 Section 7.4 – The Hyperbola Vertices of transverse axis: Equations of the Asymptotes Foci       Identify the direction of opening, the coordinates of the center, the vertices, and the foci. Find the equations of the asymptotes and sketch the graph.

11 Section 7.4 – The Hyperbola Find b: Center: Equation of the Hyperbola     

12 Section 7.4 – The Hyperbola Center: Equations of the Asymptotes     

13 Section 7.4 – The Hyperbola Find the center, the vertices of the transverse axis, the foci and the equations of the asymptotes using the following equation of a hyperbola. Opening up/down

14 Section 7.4 – The Hyperbola Find the center, the vertices of the transverse axis, the foci and the equations of the asymptotes using the following equation of a hyperbola. Vertices: Foci:

15 Section 7.4 – The Hyperbola Find the center, the vertices of the transverse axis, the foci and the equations of the asymptotes using the following equation of a hyperbola. Equations of the Asymptotes


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