1. To determine which is the major axis of , which of these should you do?
A. Compare a to b, and the larger goes with the major axis.
B. Find c using the relationship c
D. Plug in 0 for x to find the y intercepts; these will be the vertices of the major axis.
Which of the following is the polar graph of
3. What kind of conic section is -6x
A. Circle
B. Hyperbola
C. Ellipse
D. Parabola
4. How many asymptotes does a hyperbola have?
A. 1
B. 2
C. 3
D. 0
5. Convert the equation of the ellipse 5x
A. The equation isn't that of an ellipse.
6. Which conic section is comprised of two branches?
A. Ellipse 22 + 11x - 6y + 1 = 0?
-10x - 25 = 0 to standard form.
B. Circle
C. Parabola
D. Hyperbola
7. What is the equation for the directrix of the parabola y
A. x = -5
B. x = 5
C. y = -5
D. y = 5x
8. What are the substitution equations for rotating the axes back 30°?
9. What is the equation of the directrix for the conic section
A. x = 2
B. x = –3
C. y = 6
D. y = -6
10. What is a parameterized version of the curve given by y - 3 = x + sin x?
A. t = x, sinx - y + 3
B. y = -3t, x = y + sint
C. x = t, y = t + sint + 3
D. t = - 3 = y, t + sint = x
11. If the conic section Ax
A. A hyperbola
B. A parabola
C. An ellipse
D. A circle
+ Cy2 Dx + Ey + F = 0 has A = C, then it's which of the following shapes?
12. Eliminate the parameter from the parametric form of the following equation.
13. What is the center of the hyperbola ?
A. (4,9)
B. (2,0)
C. (0,2)
D. (9,4)
14. Where are the foci of the hyperbola ?
A. (0,±2)
B. (0,±4,)
C. (±2,0)
D. (±4,0)
15. What is the vertex of the parabola y
A. (-11,2)
B. (-2,11)
C. (0,0)
D. (2,11)
-4y -3x - 29 = 0?
16. Where are the foci for the ellipse ?
17. Which of the following is symmetrical about the polar (or x) axis?
18. A batter hits a baseball from 3 feet above home plate along the path x = 69t, y = 3 + 40t - 16t
How long is the ball in flight, and how far does it travel?
19. Express the parametric equations without the parameter.
20. What is the focus of the parabola x
A. (0,1)
B. (0,-1)
C. (-1,0)
D. (1,0)
