A+ Answers

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)