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

1 Answer
Jun 10, 2015

Answer:

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]}