Quadratic Transformations

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The vertex is the point (h, k).

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If a > 0, the parabola opens upwards. If a < 0, it opens downwards.

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CCSS.HSF-IF.C.7A

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The y-intercept is the point (0, c).

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CCSS.HSF-IF.C.7A

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This represents a translation of the parabola 4 units to the right and 1 unit down.

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What does the term 'reflection' mean in the context of quadratic functions?

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Reflection means flipping the graph over a specific axis, such as the x-axis or y-axis.

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Changing 'a' affects the width and direction of the parabola. Larger |a| makes it narrower, while smaller |a| makes it wider.

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What is the significance of the vertex in a quadratic function?

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The vertex represents the maximum or minimum point of the parabola, depending on the direction it opens.

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What does the term 'transformation' refer to in quadratic functions?

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Transformation refers to changes in the position, size, or orientation of the graph of a function.

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How do you identify a reflection over the x-axis in a quadratic function?

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