Quadratic Functions

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parabola

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The graph or curve of a quadratic function.

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vertex

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The point where the function for the parabola reaches a maximum or a minimum value represented by (h, k).

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axis of symmetry

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An imaginary line that intersects at the vertex and divides the parabola into two parts that are mirror images.

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vertex form of a quadratic function

Back

A statement written as y=a(x−h)²+k where the vertex is (h, k) and the axis of symmetry is x = h.

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standard form of a quadratic function

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A statement written as y=ax²+bx+c where a, b, and c are real numbers, a ≠ 0, and c = y-intercept.

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factored form of a quadratic function

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A statement written as y=a(x−p)(x−q) where p and q are the zeros of the function.

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Zero Product Property

Back

A principle that states if a product of a real-number factors is 0, then at least one of the factors must be zero.

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Quadratic Formula

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An equation used to find the solution(s) of any quadratic equation or function which indicates whether the graph intersects the x-axis and locates any x-intercepts if present.

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discriminant

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A value, b²−4ac, that describes the number of solutions (or roots) and the type of solutions to expect from the Quadratic Formula.

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quadratic regression

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A method used to find the quadratic function that best fits a data set or scatter plot.