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.
- Know the relationship between the distances between the focus and a point on a parabola and
the directrix and the same point.
- Know the relationship between the distances between the foci and a point on an ellipse.
- Know the relationship between the distances between the foci and a point on a hyperbola.
- Know the Pythagorean relationship for an ellipse.
- Know the Pythagorean relationship for a hyperbola.
- Match the term with the definition. Nine parts.
- Know the standard form for a parabola with vertex at (h,k).
- Know the standard form for an ellipse with vertex at (h,k).
- Know the standard form for a hyperbola with vertex at (h,k).
- Label the vertex, directrix, and focus of a parabola.
- Label the vertices, endpoints of the minor axis, and foci of an ellipse.
- Label the vertices, endpoints of the conjugate axis, and foci of an ellipse.
- Sketch the graph of the parametric equations.
- Eliminate the parameter. Two parts.
- Sketch the graph of a conic section in standard form.
- Complete the square to put a conic into standard form and then sketch it.
- Write the equation of the conic section shown. Three parts; a parabola, ellipse, and hyperbola
(not necessarily in that order).
- Application problem. Find the equation of a parabola. Then use the equation to find the
coordinates of a point on the parabola.
- Application problem. Find the equation of an ellipse.
- No problems are directly from the text that I know of. If they are, they are unintentional.
- Problems 1 and 7 are matching.
- Problems 2-6 and 8-10 are multiple choice.
- The handout on conics has much of the
information you need for the multiple choice questions, labeling, etc., on
it. A PDF version is available in case you didn't get one in class.