quizzes 5-7

Fall 2019 MATH 115 Quiz 7 SHOW ALL WORK

1. 5 pts. Put the equation into the standard form of a parabola and find the vertex, focus, and directrix. The

standard form of a parabola can be found in Section 7.3 of the textbook. Answers should be exact values and

not approximations.

4y 2 - 4y + x = 1

A. Standard form

B. Vertex

C. Focus

D. Directrix

2. 6 pts. Put the equation into the standard form, and find the center, vertices, foci, and endpoints of the

minor axis. Answers should be exact values and not approximations.

8x 2 + 9y

2 + 24x - 18y = 45

A. Standard form

B. Center

C. Vertices

D. Foci

E. Endpoints of the minor axis

3. 6 pts. Graph the equation and find the center, vertices, foci, and equations of the asymptotes. Answers

should be exact values and not approximations.

144(x - 4) 2 = 3600 + 25(y + 6)

2

A. Graph

B. Center

C. Vertices

D. Foci

E. Asymptotes

4. 4 pts. Find the equation of an ellipse, in standard form, satisfying the given conditions:

Vertices: (4, -4.4) and (4, 10.4); with the length of minor axis equal to 6. Answers should be exact values and

not approximations.

5. 4 pts. Find the equation (in standard form) of the parabola pictured below. Answers should include exact

values and not approximations.

6. 5 pts. Find the equation of the hyperbola, in standard form, satisfying the given conditions.

Vertices at (-2, 8) and (-2, -4); asymptotes with slopes ±1/3. Answers should be exact values and not

approximations.