How do you graph #y = abs(x+6)#?

1 Answer
Apr 22, 2018

Answer:

See explanation

Explanation:

Let's start by looking at its parent function: #y=absx#
graph{|x| [-9.97, 10.03, -0.6, 9.4]}
Now looking at #y=abs(x+6)# and the given transformation rules below...

https://hellermaayanotmath.wikispaces.com

...we can see the we must shift the entire graph #6# units to the left

To do that, we take each point on the graph and subtract #6# from the #x# value.

For example:

The point #(0,0)# shifted #6# units to the left is:

#(0color(blue)(-6),0)=>(-6,0)#

Once we do that we'll get the following graph...
graph{|x+6| [-14.34, 5.66, -0.88, 9.12]}
...which is the graph of #y=abs(x+6)#