# How do you graph the equation #y=|x+2|+3#?

##### 1 Answer

Dec 19, 2014

The absolute value changes of sign, when it's content

So let's write that down:

So now we know that it will change the sign (negative) when

It's best to treat a function with an absolute value as two functions.

#x > -2 => y = x+2+3 <=> y = x+5# #x < -2 => y = -(x+2)+3 <=> y = -x-2+3 <=> y = -x + 1#

See how I added the minus sign when

If you now graph both of these functions on one graph, you will have your function. You do have to remember that the first function only exists when