Question

What is the vertex of the function y=|-3x+2|-4

Answer 1

are you sure the original is correct?
the vertex is usually the highest or lowest point for a parabola, a function in the form ax^2 + bx + c

Answer 2

possibility
when x is negative y = 3x + 2 - 4 = 3x - 2
when x is positive y = -3x +2 - 4 = -3x -2
modulus usually means take the positive value y = -3x +2 -4 = -3x - 2

when x = 0 y = -2
when y = 0 then 4 = modulus -3 x + 2