The absolute value parent function, f(x) = |x| , is transformed to g(x) = |x+3| - 1 and h(x) = |x-2| + 4. Analyze the graphs of g(x) and h(x), independently, to determine the effects of the changes of each from the parent function; lastly, compare g(x) and h(x). Which of the following statements below are true?
I. The function g(x) is translated right 3 units and down 1 unit from f(x).
II. The function h(x) is translated right 2 units and up 4 units from f(x)
III. The x-intercept of g(x) is (-2, 0)
IV. The function h(x) is translated right 5 units and up 5 units from g(x).