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 a hyperbola.
 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.
 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).
Notes:
 No problems are directly from the text that I know of. If they are, they are unintentional.
 Problems 1 and 7 are matching.
 Problems 26 and 810 are multiple choice.
 There is a takehome portion of the exam worth 20 points. It is due the class period after the
inclass exam.
 The inclass portion of the exam is worth 80 points.
# 
1 
2 
3 
4 
5 
6 
7 
8 
9 

Pts 
9 
2 
2 
2 
2 
2 
9 
2 
2 


# 
10 
11 
12 
13 
14 
15 
16 
17 
18 
Total 
Pts 
2 
3 
3 
3 
5 
10 
5 
5 
12 
80 