Question

Vertex of y= |-3x+2|

Answer 1

In order to solve for the vertex, find where both sides of the absolute value equation are equal to each other.
So,
-3x+2=3x-2
-3x-3x=-2-2
-6x=-4
x=4/6 or x=2/3

Now, you can put x=2/3 into either equation to solve for y.
I'm going to put it in the first one.
y=-3x+2
y=-(3*(2/3))+2
y=-2+2
y=0

So, your vertex will be at (2/3,0).
Hope that helps!