Quadratic functions and inequalities
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Quadratics in Factored Form
Investigate the factors of a quadratic through its graph and through its equation. Vary the roots of the quadratic and examine how the … graph and the equation change in response.
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Quadratics in Polynomial Form - Activity A
Compare the graph of a quadratic to its equation in polynomial form. Vary the coefficients of the equation and explore how the graph … changes in response.
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Quadratic Inequalities - Activity A
Find the solution set to a quadratic inequality using its graph. Vary the terms of the inequality and the inequality symbol. Examine how … the boundary curve and shaded region change in response.
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Roots of a Quadratic
Find the root of a quadratic using its graph or the quadratic formula. Explore the graph of the roots and the point of symmetry in … the complex plane. Compare the axis of symmetry and graph of the quadratic in the real plane.
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Quadratics in Vertex Form - Activity A
Compare the graph of a quadratic to its equation in vertex form. Vary the terms of the equation and explore how the graph changes in response.
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Quadratic and Absolute Value Functions
Compare the graph of a quadratic or absolute‑value function to its equations. Vary the coefficients of the equation and explore how … the graph changes in response.
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Absolute Value of a Quadratic Function
Explore and compare the graphs of y = f(x), y = f(|x|), y = |f(x)|, and y = |f(|x|)|.
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Quadratic Inequalities - Activity B
Find the solution set to a quadratic inequality using its graph. Vary the terms of the inequality and the inequality symbol. Examine how … the boundary curve and shaded region change in response.
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System of Two Quadratic Inequalities
Find the solution set to a quadratic inequality using its graph. Vary the terms of the inequality and the inequality symbol. Examine how … the boundary curve and shaded region change in response.
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Quadratics in Polynomial Form - Activity B
Compare the graph of a quadratic to its equation in polynomial form. Vary the coefficients of the equation and explore how the graph … changes in response.
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Quadratics: Polynomial Form in y
Explore the graph of a quadratic of the form x = ay2 + by + c. Vary the coefficients of the equation and examine how the graph changes … in response. Calculate the location of the vertex and y‑intercepts.
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Quadratics in Vertex Form - Activity B
Explore the graph of a quadratic of the form y = a(x − h)2 + k. Vary the terms of the equation and explore how the graph changes … in response. Calculate the location of the vertex and y‑intercepts.
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Zap It! Game
Try to adjust the quadratic function to "Zap" as many data points as possible.
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Reflections of a Quadratic Function
Explore and compare the graphs of y = f(x), y = −f(x), y = f(−x), and y = −f(−x), for a … quadratic function f(x) of the form f(x) = ax2 + bx + c. Vary the terms of f(x) and examine how the graphs change in response.
