Take-Home Quiz # 6
(Sections 7.2-7.5)
Math 115 6383, Due 11:59PM, Saturday, October 9, 2021
Instructions: This quiz must be completed independently. You are allowed to
consult with your notes or the textbook as needed to aid you in solving these
problems. Seeking help from others in or out of the class is not allowed.
Suggestions about how to approach this quiz:
1. Finish all homework assignments of the sections and get good
understanding of the contents from the last week.
2. Print out a copy of the quiz and solve any problems that you can, using
pencil and paper.
3. Review the eBook sections associated with any problems you could not
solve.
4. Complete the remaining problems to the best of your ability. Even if
you cannot come to a final solution, you should show what you do know
so that you have the opportunity for partial credit.
5. Review your work. Check for errors. Make sure you have included units
where appropriate, and explanations when required by the
instructions. Unless the problem explicitly states otherwise, work
must be shown for every answer. Any answer, even if “correct”
but lacking work, will NOT receive full credit and may receive NO
credit!
6. When you are satisfied, type in your solutions (extend space if
needed) or, scan your hand written work or take photos with your
camera. Make sure that your submission is readable.
7. Merge all solutions into one file, according to their orders, for
submission. You can update a submission before its deadline. Only one
file is taken. The latest version will replace the previous submission.
8. Submit your work in the associated LEO assignment. Please double
check after submitting your quiz.
Please submit the quiz as an attachment in any readable formats such as
scanned or photo copy before or on Saturday, Oct 10. No late quiz will be
accepted. No make-up quiz will be arranged. A solution key for Quiz #6
will be posted along with the quiz right after 12am (EST), Sunday, Oct 10.
Please sign (or type) your name below the following honor pledge:
I have completed this quiz by myself, working independently and not
consulting anyone except the instructor. I have neither given nor received
help on this quiz.
Name: Joel Goode
Date: 10/8/21
QUIZ # 6 Problems
Math 115 6383, Due 11:59PM, Saturday, October 9, 2021
1. Complete the square in order to put the equation into standard form. Identify the
center and the radius or explain why the equation does not represent a circle.
x2 + y2 − 4y = 5
2. Find the standard equation of the circle with endpoints of a diameter
(−3, 7) and (1, 5).
3. Find an equation of a parabola satisfying the given: Focus (0, 3), Vertex (0, 0)
4. Find the vertex, the focus, and the directrix of the parabola. Then sketch the parabola.
Computer generated graph will not be accepted.
1
𝑥 = − 𝑦2
2
5. Find the vertices and the foci of the ellipse with the equation. Then sketch the ellipse.
Computer generated graph will not be accepted.
4𝑥 2 + 9𝑦 2 = 36
6. Find an equation of the ellipse satisfying the conditions
Vertices: (0, 9), (0, −9), Foci: (0, −5), (0, 5)
7. Find an equation of the hyperbola with vertices (−2, 0), (2, 0) and foci (−5, 0), (5, 0).
Then find the asymptotes.
8. Find the center, the vertices, the foci, and the asymptotes of the hyperbola. Then sketch
the hyperbola and the asymptotes. Computer generated graph will not be accepted.
16𝑦 2 − 9𝑥 2 = 144