One absolute value sign around one variable adds a reflection. Like y = |x| is the normal y=x line and y=-x. This is of course because |-x| = x. If both variables have an absolute value sign, that means that there are now four combinations of pluses and minuses that can satisfy the conditions (++, +-, -+,--) so for |y|=|x| you get y=x , -y=x , -y=-x , and y=-x. So I would approach these by graphing the original shape and then deciding how it is being reflected by the absolute values.