Quadratic Functions

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What is a quadratic function?

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What does the graph of a quadratic function look like?

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The graph of a quadratic function is a parabola, which opens upwards if a > 0 and downwards if a < 0.

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What is the vertex of a parabola?

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The vertex is the highest or lowest point of the parabola, depending on whether it opens upwards or downwards.

Front

How do you find the axis of symmetry for a quadratic function?

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What are the roots of a quadratic equation?

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The roots are the values of x that make the quadratic equation equal to zero; they are the x-intercepts of the graph.

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What is the maximum or minimum value of a quadratic function?

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The maximum or minimum value occurs at the vertex of the parabola. It is a maximum if the parabola opens downwards and a minimum if it opens upwards.

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What is the range of a quadratic function that opens upwards?

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The range is all real numbers greater than or equal to the y-coordinate of the vertex.

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What is the range of a quadratic function that opens downwards?

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The range is all real numbers less than or equal to the y-coordinate of the vertex.

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How do you determine if a quadratic function has a maximum or minimum?

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Front

What is the standard form of a quadratic function?

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