Section

Content

Suggested Problems

Section 3.1

 PointSlope form of a line
 Twopoint form of a line

Page 92: 1, 9, 15, 17, 25,

Section 3.2

 Slopeintercept form of a line
 Intercept form of a line
 General form of a line

Page 102: 5, 13, 21, 33

Section 3.3

 Distance from a point to a line

Page 112: 5, 9, 13, 17

Section 4.1

 Centerradius (standard) form of a circle
 General form of a circle
 Degenerate cases

Page 134: 3, 7, 9, 19, 21, 29

Section 4.2

 Conditions to determine a circle
 Three (noncolinear) points on circle
Solution: System of three equations
Solution: Chords of circle & perpendicular bisectors
 Tangent lines to a circle

Page 146: 1, 3

Section 5.1

 Conic Sections
 General Quadratic Equation


Section 5.2

 Parabola
 Definition
 Focus
 Directrix
 Equidistance of point on parabola to focus and directrix
 Equation
 Type I: Axis of symmetry: xaxis
 Type II: Axis of symmetry: yaxis
 Geometry
 Vertex
 Focus
 Directrix
 Axis of Symmetry
 Latus Rectum

Page 158: 1, 7, 13, 15, 19, 21

Section 5.3

 Ellipse
 Definition
 Two Foci
 Constant sum of distances from point on ellipse to two foci
 Equation
 Type I: Major Axis: xaxis
 Type II: Major Axis: yaxis
 Geometry
 Center
 Vertices
 Covertices
 Foci
 Major axis
 Minor axis
 Eccentricity
 Directrices

Page 169: 1, 5, 7, 9, 11, 13, 17, 19

Section 5.4

 Hyperbola
 Definition
 Two Foci
 Constant difference of distances from point on ellipse to two foci
 Equation
 Type I: Transverse axis: xaxis
 Type II: Transverse axis: yaxis
 Geometry
 Center
 Vertices
 Foci
 Transverse axis
 Conjugate axis
 Asymptotes
 Eccentricity
 Directrices

Page 181: 1, 3, 9, 13, 15, 16, 17, 18, 21

Section 6.1

 Translation of conic sections
 Equations of translation
 Standard forms for conic sections
 Parabola
 Type I: Axis of symmetry parallel to xaxis
 Type II: Axis of symmetry parallel to yaxis
 Ellipse
 Type I: Major axis parallel to xaxis
 Type II: Major axis parallel to yaxis
 Hyperbola
 Type I: Transverse axis parallel to xaxis
 Type II: Transverse axis parallel to yaxis

Page 198: 7, 8, 9, 10, 11, 12, 21, 22, 23, 25
