Algebra 64 - Quadratic Functions and Polynomials

Professor Von Schmohawk introduces quadratic functions, explaining their general form and graph characteristics, such as parabolas, vertices, and axes of symmetry. Quadratics are described as second-degree polynomials, with a focus on polynomial terms, degrees, and coefficients. The video also covers different types of polynomials, including monomials, binomials, and trinomials. The lecture concludes with a preview of the next topic: creating quadratic expressions by multiplying linear expressions using the FOIL method.

What is a quadratic function of x?

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What does the general form of a quadratic function look like?

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What happens to a quadratic function if the constant a is equal to 0?

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Describe the shape of the graph of a quadratic function.

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What is the vertex of a parabola?

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How does the value of the constant a affect the direction in which the parabola opens?

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What is the degree of a polynomial, and how does it relate to quadratic functions?

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