• ### I.1. Applying the Distance and Midpoint Formulas

3. #### I.1.1. Distance Formula

1. I.1.1.O. Overview
2. I.1.1.1. Finding the Distance between Two Points
3. I.1.1.2. Classifying a Triangle Using the Distance Formula
4. #### I.1.2. Midpoint Formula

1. I.1.2.O. Overview
2. I.1.2.1. Finding the Midpoint of the Line Segment Joining Two Points
5. #### I.1.3. Solving Problems Involving the Distance and Midpoint Formulas

1. I.1.3.O. Overview
2. I.1.3.1. Solving Word Problems Involving the Distance Formula
3. I.1.3.2. Solving Word Problems Involving the Midpoint Formula
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• ### I.2. Graphing and Writing Equations of Parabolas

3. #### I.2.1. Parabolas of the Form y2 = 4px

1. I.2.1.O. Overview
2. I.2.1.1. Identifying the Axis of Symmetry Given an Equation of the Form x2 = 4py
3. I.2.1.2. Identifying the Focus and Directrix Given an Equation of the Form y2 = 4px
4. I.2.1.3. Graphing Parabolas of the Form y2 = 4px
5. I.2.1.4. Writing Equations of the Form y2 = 4px Given the Vertex and Focus
6. I.2.1.5. Writing Equations of the Form y2 = 4px Given the Vertex and Directrix
4. #### I.2.2. Parabolas of the Form x2 = 4py

1. I.2.2.O. Overview
2. I.2.2.1. Identifying the Axis of Symmetry Given an Equation of the Form x2 = 4py
3. I.2.2.2. Identifying the Focus and Directrix Given and Equation of the Form x2 = 4py
4. I.2.2.3. Graphing Parabolas of the Form x2 = 4py
5. I.2.2.4. Writing Equations of the Form x2 = 4py Given the Vertex and Focus
6. I.2.2.5. Writing Equations of the Form x2 = 4py Given the Vertex and Directrix
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• ### I.3. Graphing and Writing Equations of Circles

3. #### I.3.1. Graphing Equations of Circles

1. I.3.1.O. Overview
2. I.3.1.1. Identifying the Radius of Circles Given the Equation
3. I.3.1.2. Graphing Equations of Circles
4. #### I.3.2. Writing Equations of Circles

1. I.3.2.O. Overview
2. I.3.2.1. Writing Equations of Circles Given the Origin and the Radius
3. I.3.2.2. Writing Equations of Circles Given the Origin and One Point
4. I.3.2.3. Writing Equations of Tangent Lines to Circles at a Certain Point
5. #### I.3.3. Circles and Inequalities

1. I.3.3.O. Overview
2. I.3.3.1. Graphing Inequalities of Circles
6. #### I.3.4. Solving Problems Involving Graphs of Circles

1. I.3.4.O. Overview
2. I.3.4.1. Solving Word Problems Involving Equations of Circles
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• ### I.4. Graphing and Writing Equations of Ellipses

3. #### I.4.1. Identifying Components of Ellipses

1. I.4.1.O. Overview
2. I.4.1.1. Identifying Horizontal v. Vertical Major Axes Given the Equation for an Ellipse
3. I.4.1.2. Identifying the Vertices, Co-Vertices, and Foci Given the Equation for an Ellipse
4. #### I.4.2. Graphing Equations of Ellipses

1. I.4.2.O. Overview
2. I.4.2.1. Graphing Equations of Ellipses Given Standard Form
5. #### I.4.3. Writing Equations of Ellipses

1. I.4.3.O. Overview
2. I.4.3.1. Writing Equations of Ellipses Given the Center, One Vertex and One Co-Vertex
3. I.4.3.2. Writing Equations of Ellipses Given the Center, One Vertex, and One Focus
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• ### I.5. Graphing and Writing Equations of Hyperbolas

3. #### I.5.1. Identifying Components of Hyperbolas

1. I.5.1.O. Overview
2. I.5.1.1. Identifying Horizontal v. Vertical Transverse Axes Given the Equation for a Hyperbola
3. I.5.1.2. Identifying Vertices, Foci, and Asymptotes Given the Equation for a Hyperbola
4. #### I.5.2. Graphing Equations of Hyperbolas

1. I.5.2.O. Overview
2. I.5.2.1. Graphing Equations of Hyperbolas Given Standard Form
5. #### I.5.3. Writing Equations of Hyperbolas

1. I.5.3.1. Writing Equations of Hyperbolas Given the Foci and Vertices
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• ### I.6. Translating and Classifying Conic Sections

3. #### I.6.1. Graphing the Equations of Translated Conic Sections

1. I.6.1.1. Graphing the Equations of Translated Circles
2. I.6.1.2. Graphing the Equations of Translated Hyperbolas
3. I.6.1.3. Graphing the Equations of Translated Parabolas
4. I.6.1.4. Graphing the Equations of Translated Ellipses
4. #### I.6.2. Classifying the Equations of Conic Sections

1. I.6.2.1. Classifying the Equations of Conic Sections Using the Discriminant
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• ### I.7. Solving Quadratic Systems

3. #### I.7.1. Solving Linear-Quadratic Systems

1. I.7.1.1. Solving Linear-Quadratic Systems by Graphing
2. I.7.1.2. Solving Linear-Quadratic Systems by Substitution
4. #### I.7.2. Solving Quadratic Systems

1. I.7.2.1. Solving Quadratic Systems by Elimination
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