The function is .

The standard form of quadratic function is .

Find the axis of symmetry.

Formula for the equation of the axis of symmetry is .

                       (Substitute and in the formula)

. \ \

The equation for the axis of symmetry is .

Find the vertex.

Use the value of equation for the axis of symmetry as the - coordinate of the vertex to find the vertex.

Find the - coordinate.

                (Original equation)

     (Substitute  in the original equation)

                      (Multiply)

The vertex point is .

Determine whether the function has maximum or minimum value.

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

The maximum value is .

Graph:

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

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.

Connect the points with a smooth curve. 

The equation for the axis of symmetry is .

The vertex point is .

The vertex is the maximum value.

The graph of the function is

.