Graphing Quadratics

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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 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.

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How do you find the axis of symmetry of a parabola?

Back

Front

What is the significance of the coefficient 'a' in a quadratic function?

Back

The coefficient 'a' determines the direction of the parabola: if 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

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

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If 'a' is positive, the function has a minimum value at the vertex; if 'a' is negative, it has a maximum value at the vertex.

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What is the formula for finding the vertex of a parabola given in standard form?

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What is the standard form of a quadratic equation?

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