Absolute Value Functions

So we have worked on absolute values and we've talked about functions.
WHICH WAS A HOOT!

But now we should talk about another thing. The "Chapter" is called Absolute Value Functions but it would be more accurate to call it graphing absolute values.

Let's look at a build of a Absolute Value equations

4|x+3|-5 = y

Now let's replace that with variables.

a|x-h|+k = y

a = 4

-h = 3

k = -5

This is the basic build of an Absolute Value Function. This is also very important in graphing. HEre is the graphing of the equation.

If you look at the vertex you will see that it's coordinates are (-3,-5). In Absolute Value Equations, The vertex is always (-h,k) and the slope is a.