Characteristics of Quadratic Functions

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What is the standard form of a quadratic function?

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Front

What is a parabola?

Back

A parabola is the U-shaped graph of a quadratic function.

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Back

The leading coefficient is 1.

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Back

The y-intercept is (0, 7).

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Front

What does the 'a' value in a quadratic function determine?

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and its width.

Front

How do you find the x-intercepts of a quadratic function?

Back

Front

What is the discriminant in a quadratic equation?

Back

Front

What does a positive discriminant indicate about the roots of a quadratic equation?

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A positive discriminant indicates that there are two distinct real roots.

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What does a zero discriminant indicate about the roots of a quadratic equation?

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A zero discriminant indicates that there is exactly one real root (a repeated root).