Moving Parabolas

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Generalize the effects on the roots and minimum when modifying a coefficient of a function in the form

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Coefficients that Affect the Graph

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Observe changes in functions as you modify their coefficients.

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Multiple Inequalities

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Identify linear inequalities that determine a predesignated solution.

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Multiple Solutions

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Find the set of solutions of a system of two equations with three variables.

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Equation of a Tangent

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Find the general equation of a line that touches, but does not pass through, a parabola.

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Modifying the Slope and the Y-Intercept

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Examine the changes of a function as the slope and y-intercept of a linear function are modified.

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Altitude to the Hypotenuse

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Investigate the relationship between sides of right triangles when an altitude is drawn to the hypotenuse of a right triangle.

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Partial Sum of Consecutive Integers

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Can a partial sum of consecutive positive integers equal a number with identical digits?

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Sum of Infinite Fractions

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Determine the sum of an infinite geometric series that begins with the number one.

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Tri-Square Trios

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Explore whether the sum of two triangular numbers can equal a square number.

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