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 8 to each side)
(Apply additive inverse property: )
(Apply additive identity property: )
Next make at table, fill out the table with values for x > 8 and x < 8.
f(x) =  x  – 8 

x 
f(x) 
– 2 
– 6 
–1 
– 7 
0 
– 8 
1 
– 7 
2 
– 6 
First, draw a coordinate plane.
Locate the points on coordinate plane and draw the graph through these points.
Graph for the absolute value function
Observe the graphs, both graphs have same shape and
points on are 8 units lower than the points on .
The graph of is the graph of and translated 8 units down.
The graph of is the graph of and translated 8 units down.
"I want to tell you that our students did well on the math exam and showed a marked improvement that, in my estimation, reflected the professional development the faculty received from you. THANK YOU!!!" June Barnett 
"Your site is amazing! It helped me get through Algebra." Charles 
"My daughter uses it to supplement her Algebra 1 school work. She finds it very helpful." Dan Pease 