$\"\"$

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The function is $\"\"$ .

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The standard form of quadratic function is $\"\"$ .

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Find the axis of symmetry.

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Formula for the equation of the axis of symmetry is $\"\"$ .

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$\"\"$ (Substitute $\"\"$ and $\"\"$ in the formula)

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$\"\"$

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$\"\"$

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The equation for the axis of symmetry is $\"\"$ . $\"\"$

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Find the vertex.

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Find the vertex, use the value of equation for the axis of symmetry as the $\"\"$ - coordinate of the vertex.

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Find the $\"\"$ - coordinate.

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$\"\"$ (Original equation)

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$\"\"$ (Substitute $\"\"$ in the original equation)

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$\"\"$ (Multiply)

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$\"\"$

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The vertex point is $\"\"$ .

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Determine whether the function has maximum or minimum value.

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The value of $\"\"$ (Negative), hence the graph of function opens downward and has a maximum value. The vertex is the maximum value.

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The maximum value is $\"\"$ .

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$\"\"$

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The axis of symmetry divides the parabola into two equal parts.

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If there is a point on one side, there is a corresponding point on the other side that is the same distance from the axis of symmetry and has the same $\"\"$ - value.

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Connect the points with a smooth curve.

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$\"The$

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$\"\"$

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The equation for the axis of symmetry is $\"\"$ .

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The vertex point is $\"\"$ .

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The vertex is the maximum value.

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The graph of the function $\"\"$ is

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$\"The$