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