Quadratic Basics

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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 can open upwards or downwards depending on the sign of the coefficient 'a'.

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What are the solutions of a quadratic equation?

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The solutions of a quadratic equation are the values of x that make the equation equal to zero, also known as the roots or zeros of the function.

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How can you determine the number of solutions a quadratic equation has?

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What is the vertex of a parabola?

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

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How do you find the vertex of a quadratic function in standard form?

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What is the axis of symmetry in a quadratic function?

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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. If the parabola opens upwards, it has a minimum value; if it opens downwards, it has a maximum value.

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

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

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