\"\"

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The quadratic function is \"\".

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Find the maximum or minimum values.

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The standard form of quadratic function \"\", where \"\".

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Rewrite the function \"\".

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\"\" and \"\".

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Since \"\", the function has a maximum value and opens down.

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Maximum value of the function is \"\"coordinate of the vertex.

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The \"\"coordinate of the vertex is \"\".

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\"\"                             (Substitute the values \"\" and \"\")

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\"\"                                  (Simplify)

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The \"\"-coordinate of the vertex is \"\".\"\"

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Find the \"\"-coordinate of the vertex by evaluating the function for \"\".

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\"\"           (Original function)

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\"\"             (Substitute \"\")

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\"\"               (Evaluate powers: \"\")

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\"\"                         (Multiply)

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\"\"                                         (Substitute: \"\")

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The maximum value of the function is \"\".

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Find domain and range of the function.

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The domain is all real numbers.

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The range is all real numbers less than or equal to maximum value or \"\".

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\"\"

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The function has maximum value.

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The maximum value of the function is \"\".

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Domain is all real numbers.

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The range is \"\".