Transformations of Quadratics

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A Parabola

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(3, 4)

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Reflects across x-axis, up 3

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What is the most basic equation of a parabola?

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What does the term 'vertex' refer to in a parabola?

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The highest or lowest point of the parabola, depending on its orientation.

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It reflects the parabola across the x-axis.

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It affects the width and direction of the parabola; larger |a| makes it narrower.

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What does the term 'axis of symmetry' mean in relation to a parabola?

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A vertical line that divides the parabola into two mirror-image halves.

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What is the vertex form of a quadratic equation?

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What does the 'h' value in the vertex form of a quadratic indicate?

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The x-coordinate of the vertex, indicating horizontal shifts.