Inverse, Joint, and Combined Variation



Match each equation to the description of its graph

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1. [pic]

2. [pic]

3. [pic]

4. [pic]

5. [pic]

6. [pic]

7. [pic]

8. [pic]

9. [pic]

10. [pic]

A. parabola with focus [pic]

B. ellipse with foci @[pic]

C. parabola with vertex [pic]

D. hyperbola with asymptotes [pic]

E. circle with center [pic] and radius 2

F. ellipse with foci @ [pic]

G. parabola with directrix [pic]

H. hyperbola with one of its vertices @ [pic]

I. parabola with x-axis for its line of symmetry and focus @[pic]

J. circle with center [pic] and radius of 2

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Choose the BEST answer.

11. Identify: [pic]

A. Parabola

B. Circle

C. Ellipse

D. Hyperbola

12. The center and radius of the circle [pic] are:

A. [pic]; 2

B. [pic]; 2

C. [pic]; 1

D. [pic]; 1

13. What is the equation of the parabola with vertex at [pic] and focus at [pic]?

A. [pic]

B. [pic]

C. [pic]

D. [pic]

E. [pic]

14. What is the length of the major axis of the ellipse [pic]?

A. 7

B. 12

C. 49

D. 75

E. 14

15. Find the equation of the parabola with its focus @ [pic] and directrix @[pic].

A. [pic]

B. [pic]

C. [pic]

D. [pic]

16. What is the equation of the directrix of the parabola [pic] with its focus @ [pic]?

A. [pic]

B. [pic]

C. [pic]

D. [pic]

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17. The parabola [pic] opens:

A. Up

B. Down

C. Left

D. Right

18. Identify: [pic]

A. Parabola

B. Circle

C. Ellipse

D. Hyperbola

19. What are the equations of the asymptotes of the hyperbola [pic]?

A. [pic]

B. [pic]

C. [pic]

D. [pic]

20. What is the standard equation of an ellipse with center at the origin and whose x-intercepts are [pic] and whose y-intercepts are [pic]?

A. [pic]

B. [pic]

C. [pic]

D. [pic]

21. Identify: [pic]

A. Parabola

B. Circle

C. Ellipse

D. Hyperbola

22. Find the equation of a circle with center @[pic]and passes through the point [pic].

A. [pic]

B. [pic]

C. [pic]

D. [pic]

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23. Find the standard equation of a hyperbola with asymptotes [pic] and foci [pic]?

A. [pic]

B. [pic]

C. [pic]

D. [pic]

24. What is the equation of the circle?

[pic]

A. [pic]

B. [pic]

C. [pic]

D. [pic]

25. What is the equation of the hyperbola below with asymptotes of [pic]?

[pic]

A. [pic]

B. [pic]

C. [pic]

D. [pic]

26. ________

27. Choose the correct graph for the equation [pic].

A.

[pic]

B.

[pic]

C.

[pic]

D.

[pic]

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28. Find the length of the line segment joining [pic] and [pic].

29. If [pic] is the midpoint of the segment [pic] and P has coordinates of [pic], then Q has coordinates of:

30. Find the coordinates of the vertex of the parabola having the equation [pic].

31. What is the standard equation of a circle with center @ [pic] and radius of 4?

32. The equation [pic] has its center at the origin. If the center were moved to [pic], what would be the standard equation?

33. Find the equation of an ellipse having foci at [pic] and length of minor axis of 10.

34. What are the coordinates of the foci of the hyperbola [pic]?

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