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)

           (Simplify)

The vertex point is .

Determine whether the function has maximum or minimum value.

The value of (Positive), hence the graph of function opens upward and has a minimum value. The vertex is the minimum value.

The minimum 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 minimum value.

The graph of the function is