Pre-Calculus

Name: Date: Period:

Sketch the graph of each conic. Label all significant ordered pairs. (For example: Focus, vertex, directrix, vertices, co-vertices, center, or foci, if applicable)

2.

(y + 2 ) 2 = -1

(3- H- 3) 2

(X - 7) 2

81

64

3.

= 1

25

144

-M-

EE

_LL_

ttr

.ii FF

i

-H-T "

Write the equation of the conic with the given information.

4.

Major axis endpoints (—2, —3) and 5. Focus (2, -3), directrix x = 5 (-2, 7), minor axis length 4

6.

Foci (—3, —11) and (-3, 0), transverse axis endpoints (-3,-9) and (-3,-2)

7-8) Write the equation in standard conic form. State if it is parabola, ellipse, or hyperbola. 7.

y2

- 4y - 8* + 20 = 0

Table 8.1 Sernimajor Axes and Eccentricities of the Planets and Pluto

8. 4,t2 + y2 - 32x + \6y + 124 = 0

9.

Object Mercury Venus Earth Mars Jupiter Saturn Uranus Neptune Pluto

Sernimajor Axis (Gm)

Eccentricity

57.9 108.2 149.6 227.9 778.3 1427 2869 4497 5900

0.2056 0.0068 0.0167 0.0934 0.0485 0.0560 0.0461 0.0050 0.2484

Saturn Find the perihelion and aphelion distances of Saturn.

10. Designing a Satellite Disli The reflector of a television satellite dish is a paraboloid of revolution with diameter 5 ft and a depth of 2 ft. How far from the vertex should the receiving antenna be placed?