# How do you graph #y = |x+5|#?

##### 1 Answer

See the explanation about method.

#### Explanation:

Build a table for

Use this table to plot points. However; this is a plot involving two straight lines that make a V shape. So, in theory you only need 3 points.

The y-intercept is at

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The x-intercept is at

Add

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The third point will be a reflection of the first point about the axis of symmetry of

So the x-coordinate will be

The y coordinate will be the same as

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Both of these plotted lines will be extended upwards to the edge of the graph.