Studying the relationship between an equation and its curve. Dive into hyperbolas, transforming their graphs and manipulating their equations. Find the asymptotes, domain, range, and lines of symmetry of hyperbolas.

Examine the properties of curves arising from equations

Curves in the Plane

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Points on a Curve

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Identifying Equations

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Equations for the Same Curve

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Bounded Curves

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Identifying Curves

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The Graph of a Function

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Level Review

Transforming Hyperbolas

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Hyperbolas

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Vertical Shifts

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Horizontal Shifts

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Stretch

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Multiple Transformations

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Matching Targets

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Equivalent Expressions

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Properties of Hyperbolas

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Domain and Range of Hyperbolas

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Symmetry

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Horizontal Asymptotes

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Vertical Asymptotes

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Explore the properties of rational functions.

Rational Functions

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Reciprocal Power Functions

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Removable Discontinuities

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Drawing Rational Functions

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Identifying Rational Functions

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Working with Rational Expressions

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Working with Exponents

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Simplify Terms

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Simplify Rational Expressions

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Factor Rational Expressions

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Add Rational Expressions

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Explore twisty curves and their equations, transporting between the world of numbers and the world of shapes.

Work with imaginary and complex numbers and the complex plane.

Equations and Curves

Level 1Curves in the Plane

Level 2Transforming Hyperbolas

Level 3Properties of Hyperbolas

Level 4Rational Functions

Level 5Working with Rational Expressions

Course description

Topics covered