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Section 7.3 – The Ellipse

Section 7.3 – The Ellipse. Ellipse – a set of points in a plane whose distances from two fixed points is a constant. Section 7.3 – The Ellipse. Ellipse – a set of points in a plane whose sum of the distances from two fixed points is a constant. . Q. Section 7.3 – The Ellipse.

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Section 7.3 – The Ellipse

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  1. Section 7.3 – The Ellipse Ellipse – a set of points in a plane whose distances from two fixed points is a constant.

  2. Section 7.3 – The Ellipse Ellipse – a set of points in a plane whose sum of the distances from two fixed points is a constant.  Q

  3. Section 7.3 – The Ellipse Foci – the two fixed points, , whose distances from a single point on the ellipse is a constant. Major axis – the line that contains the foci and goes through the center of the ellipse. Vertices – the two points of intersection of the ellipse and the major axis, . Foci Minor axis – the line that is perpendicular to the major axis and goes through the center of the ellipse. Major axis Minor axis Vertices

  4. Section 7.3 – The Ellipse

  5. Section 7.3 – The Ellipse

  6. Section 7.3 – The Ellipse Find the vertices for the major and minor axes, and the foci using the following equation of an ellipse. Major axis is along the x-axis Vertices of major axis:  Vertices of the minor axis     Foci 

  7. Section 7.3 – The Ellipse Find the vertices for the major and minor axes, and the foci using the following equation of an ellipse. Major axis is along the x-axis Vertices of major axis:  Vertices of the minor axis      Foci

  8. Section 7.3 – The Ellipse Find the equation of an ellipse given a vertex of and a focus of . Graph the ellipse. Vertices of major axis: Vertices of the minor axis      

  9. Section 7.3 – The Ellipse

  10. Section 7.3 – The Ellipse Find the center, vertices, and foci given the following equation of an ellipse. Center: Major axis is along the x-axis Foci Vertices: Vertices of the minor axis

  11. Section 7.3 – The Ellipse Find the center, vertices, and foci given the following equation of an ellipse. Center:  Vertices:      Vertices of the minor axis  Foci

  12. Section 7.3 – The Ellipse Find the center, the vertices of the major and minor axes, and the foci using the following equation of an ellipse.

  13. Section 7.3 – The Ellipse Center: Foci Major axis: Vertices: Minor axis: Vertices of the minor axis

  14. Section 7.3 – The Ellipse Center: Major axis vertices:   Minor axis vertices:    Foci  

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