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Section 7.4 – The Hyperbola

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

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Section 7.4 – The Hyperbola

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

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

  3. Section 7.4 – The Hyperbola Foci – the two fixed points, , whose difference of the distances from a single point on the hyperbola is a constant. Transverse axis – the line that contains the foci and goes through the center of the hyperbola. Center Center – the midpoint of the line segment between the two foci. Vertices – the two points of intersection of the hyperbola and the transverse axis, .  Conjugate axis – the line that is perpendicular to the transverse axis and goes through the center of the hyperbola. Conjugate axis

  4. Section 7.4 – The Hyperbola

  5. Section 7.4 – The Hyperbola

  6. Section 7.4 – The Hyperbola

  7. Section 7.4 – The Hyperbola

  8. Section 7.4 – The Hyperbola

  9. Section 7.4 – The Hyperbola 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.  Center:     Vertices of transverse axis:  Foci Equations of the Asymptotes

  10. Section 7.4 – The Hyperbola 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.  Center:     Vertices of transverse axis:  Foci Equations of the Asymptotes

  11. Section 7.4 – The Hyperbola A hyperbola has a focus at and vertices at . What is its equation? Graph the hyperbola.  Center:      Find b: Equation of the Hyperbola

  12. Section 7.4 – The Hyperbola A hyperbola has a focus at and vertices at . What is its equation? Graph the hyperbola.  Equations of the Asymptotes    Center:  

  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. Foci: Center: Vertices:

  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 Center:

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