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 5 from each side)

                    (Additive invrese property: )

                           (Additive identity property: )

                             (Subtract: )

Next make at table, fill out the table with values for x > -5 and  x < -5.

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

\ f(x) = |x + 5| \
\ x \	\  f(x) \
\ – 10 \	\ 5 \
\ -5 \	\ 0 \
\ 0 \	\ 5 \
\ 5 \	\ 10 \
\ 10 \	\ 15 \

\

First, draw a co-ordinate plane.

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