The equation is .

Graph the related function .

To find the equation of the axis of symmetry.

The above equation compare to , then a = 1, b = –7 and c = 6.

The equation for the axis of symmetry of a parabola: .

                                      (Substitute a = 1 and b = –7)

                                                (Product of two same signs is positive)

The equation of the axis of symmetry is .

To find the coordinates of the vertex.

Since the equation of the axis of symmetry is .

The vertex lies on the axis, the x-coordinate for the vertex is .

                 (Substitute )

                    (Evaluate powers: )

                         (Simplify)

To LCM of 1, 2 and 4 is 4, then .

                    (LCM of 1, 2 and 4 is 4)

                                        (Simplify)

Then the vertex is at .

To make a table in given function .

\   x \		\   y \	(x, y)
–2		24	(–2, 24)
\ 0 \		\        6 \	(0, 6)
\ 2 \		\ –4 \	(–2, –4)
\ 4 \		\ –6 \	(4, –6)
\ 6 \		\ 0 \	(6, 0)
8		14	(8, 14)

To graph of the function .

Use these ordered pairs to graph the equation.

1.    Use the symmetry of the parabola to upward the graph.

2.    Draw a coordinate plane.

3.    graph the vertex and the axis of symmetry.

4.    Plot the points.

5.    Draw a line through these points.

To graph of the function .

The solution of graph.