Understanding Parabolas in Mathematics

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Parabola definition

Back

curve formed by the graph of a quadratic function

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Standard form of a parabola

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latex="y = ax^2 + bx + c">

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Vertex form of a parabola

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latex="y = a(x - h)^2 + k">

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Axis of symmetry

Back

Front

Vertex of a parabola

Back

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Direction of opening

Back

Front

Parabola and real-world applications

Back

in satellite dishes, car headlights, and projectile motion

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Focus and directrix

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is set of points equidistant from a focus and a directrix

Front

Parabola and symmetry

Back

about its axis of symmetry

Front

Parabola and roots

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