First find the minimum point of the graph.

Since absolute value function can not be negative, the minimum point of the

graph is where .

The original function is .

Set original function

According to subtraction property of equality: if , then .

            (Subtract 3 from each side)

                        (Additive invrese property: )

                          (Additive identity property: )

Write as .

First solve the case .

According to addition property of equality: if a = b, then a + c = b + c.

          (Add 3 to each side)

                      (Additive invrese property: )

                               (Add: )

                          (Divide each side by 2)

                                 (Cancel common terms) \ \

Next solve the case .

According to addition property of equality: if a = b, then a + c = b + c.

          (Add 3 to each side)

                      (Additive invrese property: )

                            (Add: )

                       (Divide each side by 2)

                           (Cancel common terms)

                              (Divide: )

Next make at table, fill out the table with values for .

First, draw a co-ordinate plane.

Locate the points on co-ordinate plane and draw the graph through these points.