Absolute Value Function

And Graphs  

Since the absolute value of a number is always positive, when we graph the equation y = |x|  the shape of our graph looks quite different from the graph of y = x. (see the demonstration below for more detail)

 

Practice Problems


Step 1: Fill in x and y values of points on the graph to determine the correct equation.
Fill Chart
Y X1 X2
2
3
4


  To determine the equation represented by the graph on the left, fill out the chart below.
Fill Chart
Y X1 X2
3
4

Can you figure out what the graph of the equation
y =|x| +3
would look like?
Show Graph

What is the equation of the graph on the left?
 Equation