Pre-Calculus Ellipses HW Worksheet

Ellipses

Name________________________ March 2014

Graph the ellipse and identify the center, vertices, and foci. 1.

2.

Center:___________

Center:___________

Vert:_____________

Vert:_____________

CV:______________

CV:______________

Foci:_____________

Foci:_____________

3.

5.

4.

(

7. (

)

(

)

Center:___________

Center:___________

Vert:_____________

Vert:_____________

CV:______________

CV:______________

Foci:_____________

Foci:_____________

)

(

6.

(

)

(

)

Center:___________

Center:___________

Vert:_____________

Vert:_____________

CV:______________

CV:______________

Foci:_____________

Foci:_____________

)

8.

(

)

Center:___________

Center:___________

Vert:_____________

Vert:_____________

CV:______________

CV:______________

Foci:_____________

Foci:_____________

Find the standard form of the equation of each ellipse. 9.

10.

11.

Find the standard form of the equation of each ellipse satisfying the given conditions. 12.

Foci: (±5, 0); Vertices (±8, 0)

13.

Foci: (0, ±4); Vertices: (0, ±7)

14.

Foci: (±2, 0); y-intercepts: ±3

15.

Major axis horizontal with length 8; length of minor axis 4; Center (0, 0)

16.

Major axis vertical with length 10; Length of minor axis 4; Center (-2, 3)

17.

Endpoints of Major Axis: (7, 9) & (7, 3) Endpoints of Minor Axis: (5, 6) & (9, 6)

Convert each equation to standard form by completing the square. 18. 19.

20.

21.

PPC Ellipses HW Worksheet.pdf

Page 1 of 2. Pre-Calculus Ellipses Name________________________. Ellipses HW Worksheet March 2014. Graph the ellipse and identify the center, vertices, and foci. 1. 2. Center:______ Center:______. Vert:______ Vert:______. CV: CV: Foci:______ Foci:______. 3. 4. Center:______ Center:______. Vert:______ Vert: ...

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