Question

How do you graph `y= 3abs(x-4)- 2`?

Answer 1

You take a look at the expression `x-4`

Explanation:

For `x>=4->x-4>=0` and the absolute bars leave it like that.

So the function is `y=3(x-4)-2=3x-14`

For `x<4->x-4<0` the bars reverse the sign to make it positive

So the function becomes `y=3(4-x)-2=-3x+10`

These two should meet at `x=4->y=3*0-2=-2`
graph{3|x-4|-2 [-4.75, 15.25, -3.04, 6.96]}