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

               (Add 2.25 to each side)

                                (Additive inverse property: )

                                            (Additive identity property: )

Next make at table, fill out the table with values for x > 2.25 and  x <  2.25.

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

\ f(x) = - |x -2.25| \
\ x \	\  f(x) \
\ -2 \	\ -4.25 \
\ -1 \	\ -3.25 \
\ 0 \	\ -2.25 \
\ 1 \	\ -1.25 \
\ 2 \	\ -0.25 \

\

First, draw a co-ordinate plane.

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

Observe the graphs, both graphs have same shape and points on are 2.25 units right side than the points on .

The graph of  is the graph of and translated 2.25 units right.

 The graph of  is the graph of and translated 2.25 units right.