Sliding Graph

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Examine the graphs of 2x + 3y = A.

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Forming a Square

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Find four equations whose graphs are oblique (slanted) lines that will intersect to form the vertices of a square.

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Discriminant

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How can the discriminant help you determine how many times the graph will cross the x-axis?

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Reciprocal Functions

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Describe any patterns you find when comparing a function to its reciprocal function.

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Absolute Value Functions and Transformations

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Describe how the graph of an absolute value function changes when you modify a, b, and c.

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Exponential Functions

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When is a function in the form y=abx increasing or decreasing?

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Using Roots to Generate an Equation

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Find an equation of a parabola given the point(s) where it crosses the x-axis.

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Symmetry of Polynomial Functions

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Describe the symmetry of a function.

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Fundamental Theorem of Algebra

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What is the largest number of times a function can cross the x-axis? How about the smallest number of times?

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Minimum Criteria

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Given a set number of points on the coordinate plane, how many lines or parabolas can you make through these points?

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