Quadratic Transformations

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The graph shifts down 5 units.

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The graph becomes wider (compressed) and shifts up 1 unit.

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The graph becomes wider (compressed).

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The graph shifts right 9 units.

Tags

CCSS.HSF-IF.C.7A

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The graph shifts up 8 units.

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Define a quadratic function.

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What is the vertex of a quadratic function?

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The vertex is the highest or lowest point on the graph of a quadratic function, depending on the direction of the parabola.

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

Tags

CCSS.HSF-IF.C.7A

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What does it mean for a quadratic function to be 'narrower' or 'wider'?

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A 'narrower' parabola has a larger absolute value of 'a', while a 'wider' parabola has a smaller absolute value of 'a'.

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What is the axis of symmetry in a quadratic function?

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