Select the function that represents the transformation of the parent function three units to the left and up two. f(x) = |x - 3| - 2 f(x) = -|x - 3| + 2 f(x) = |x + 3| + 2 f(x) = -|x + 3| + 2

The third.

When you have a number in the parentheses(abs value function in this case) that is applied to the x value of the graph in the negative way. Since the 3 is positive, the graph will move to the left(negative) 3 spaces. Outside of the parentheses is the opposite; since the two is positive, it will move two places up, resulting in C being the only possible answer.

The reason it isn't D is because adding a negative to the front of the function would flip it over an axis which is not something we want to do here.

B, 0.4 repeats so it is rational and square root of 16 is 4 so that is rational as well.