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Graphs of Conic Sections
In this example, the graph of a hyperbola centered on the x-axis is shown.
Review of conic sections:
Conic sections are known as quadratic relations. Graphs of conic sections are often not functions. In such cases, the graph of a conic section does not pass the vertical line test. For example, the graph of a circle does not pass the vertical line test.
In this set of conic sections, we review examples of the different conic sections, including circles, parabola, hyperbolas, and ellipses. In each case the equation of the conic section is shown in standard form. The graph of the conic section is shown. Given the equation of the conic section, we identify its key attributes, including the center and major and minor axes.
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The library of Math Tutorials is a comprehensive collection of worked-out solutions to common math problems. This overcomes a common limitation of most textbooks: the handful of worked-out examples for a given concept. We provide the full array of examples and solutions, allowing students to identify patterns among the solutions, in order to aid concept retention. We also have quizzes for many of these topics.
Our current inventory of Math Examples include:
- Math Tutorial: Examples Using Algebra Tiles
- Math Tutorial: Solving Equations in One Variable
- Math Tutorial: Solving Equations with Fractions
- Math Tutorial: Solving Equations with Percents
- Math Tutorial: Slope formula
- Math Tutorial: Midpoint formula
- Math Tutorial: Distance formula
- Math Tutorial: Graphing linear functions, given m and b
- Math Tutorial: Graphing absolute value functions
- Math Tutorial: Graphing linear inequalities
- Math Tutorial: Using the Point-Slope form
- Math Tutorial: Finding the equation of a line given two points
- Math Tutorial: Graphing parallel and perpendicular lines
- Math Tutorial: Solving quadratics graphically
- Math Tutorial: Solving quadratics by completing the square
- Math Tutorial: Factoring Quadratics
- Math Tutorial: Polynomial Expansion
- Math Tutorial: Solving quadratics using the quadratic formula
- Math Tutorial: Using FOIL
- Math Tutorial: Graphs of Exponential Functions
- Math Tutorial: Laws of Exponents
- Math Tutorial: Graphs of Logarithmic Functions
- Math Tutorial: Graphs of Rational Functions
- Math Tutorial: Combining Rational Expressions
- Math Tutorial: Graphs of Conic Sections
