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

1 Answer
Apr 22, 2018

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.comhttps://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)