\"\"

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The function is \"\".

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Write the function in vertex form.

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\"\"                           (Original function)

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\"\"           (Subtract \"\" from each side)

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\"\"      (Group \"\" and factor, dividing by \"\")

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\"\"                   (Complete the square)

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\"\"                   (Write \"\" as a vertex form)

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Find the vertex, axis symmetry and direction of opening.

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The vertex form of a parabola is  \"\".

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Where \"\" is the vertex, \"\" is the axis of symmetry and \"\" determines the shape of the parabola and the direction in which it opens.

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So, the vertex is \"\".

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The equation of axis of symmetry is \"\".

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The value of \"\" is negative, so the parabola opens down.

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\"\"

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Graph:

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Graph the function \"\".

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\"\"

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\"\"

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Axis of symmetry is \"\", the parabola opens down.

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Graph the function \"\".

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\"\"