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

           (Subtract 3 from each side)

                 (Apply additive inverse property: )

                         (Apply additive identity property: )

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

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

\ \
\ \	\ \
\ \	\ \
\ \	\ \
\ 0 \	\ \
\ 1 \	\ \
\ 2 \	\ \

\

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 3 units left side than the points on .

The graph of  is the graph of and translated 3 units left.

The graph of  is the graph of and translated 3 units left.