## Math 116: Study Guide - Chapter 8

- Identify the conic section or degenerate case. Choices are no graph, point, line, parallel lines,
intersecting lines, parabola, circle, ellipse, and hyperbola. Nine parts.
- Sketch the graph of the conic section. The conic is in standard form.
- A labeled figure of a parabola is given. Be able to identify the vertex, focus, directrix, and
axis of symmetry. Know the relationship of the distance between a point and the focus to the
distance between a point and the directrix. Given some coordinates (vertex or focus) and/or
distances, find the equation of the parabola (two parts).
- A labeled figure of an ellipse is given. Be able to identify the vertices, foci, endpoints of
minor axis. Know the relationship of the distances between a point and the foci to the rest of
the ellipse. Know the Pythagorean relationship for an ellipse. Given some coordinates
(center, vertex, or focus) and/or distances, find the equation of the ellipse (two parts).
- Sketch the graph of the conic section. The conic is in standard form.
- A labeled figure of a hyperbola is given. Be able to identify the vertices, foci, endpoints of
conjugate axis. Know the relationship of the distances between a point and the foci to the rest
of the hyperbola. Know the Pythagorean relationship for a hyperbola. Given some
coordinates (center, vertex, or focus) and/or distances, find the equation of the hyperbola (two
parts).
- Match the term with the definition. Nine parts. Know the names of each of the parts of the
conic sections.
- Complete the square to put a conic into standard form and then sketch it.
- Sketch the graph of the parametric equations. Indicate the direction of increasing
*t*.
- Eliminate the parameter and sketch the graph. Indicate the direction of increasing
*t*. Two
parts.

### Notes:

- No problems are directly from the text that I know of. If they are, they are unintentional.
- Problems 1 and 7 are matching.
- There is a take-home portion of the exam worth 20 points. It is due the class period
*after* the
in-class exam.
- The in-class portion of the exam is worth 80 points.
- The Loran-C problem on the take home test can be difficult if you don't carefully read the
instructions. Here are some steps to help you get through the problem.

# |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
Total |

Pts |
9 |
5 |
10 |
11 |
5 |
11 |
9 |
6 |
4 |
10 |
80 |