Question

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

Answer 1

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...

...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)`