Conic Sections Practice Test1. What is the directrix for the parabola ( y + 1) 2 = −6( x − 3)?

2. What is the focus for the parabola ( y + 1) 2 = −6( x − 3)?

3. What are the vertices for the ellipse

(a) (−2,2) and (4,2)

(b) (−4,2) and (6,2)

(c) (1,−3) and (1,7)

(d) (1,−1) and (1,5)

4. What are the foci for the ellipse

(a) (−3,2) and (5,2)

(c) (1,−2) and (1,6)

5. Which line is an asymptote for the hyperbola

(a) y = 2 x − 11(b) y = − 2 x − 9

6. Solve for y .

7. What is the center and radius for the circle ( x + 3) 2 + ( y −4) 2 = 9?(a) The center is (−3, 4), and the radius is 81.

(b) The center is (−3,4), and the radius is 3.

(c) The center is (3, −4), and the radius is 81.

(d) The center is (3, −4), and the radius is 3.

8. The graph in Figure 12.31 is the graph of which equation?

(a) y 2 = 4 x(b) y 2 = −4 x(c) x 2 = −4 y(d) x 2 = 4 y

9. Find an equation of the ellipse with vertices (8, −6) and (8,4) with a focus at (8,2).

Fig. 12.31

Fig. 12.3210. Which equation is the equation of a hyperbola with center (1,0) and with asymptote y = 2 x−2?

11. The graph in Figure 12.32 is the graph of which equation?