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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