What is the minimum value of the function y=|x+3|-2 ? (1) -2 (2) 2 (3) 3

The function y=|x+3|-2 represents an absolute value function where the inside of the absolute value is "shifted" to the left by 3 units and the entire function is lowered by 2 units on a graph. <br />Absolute value functions have vertexes which occur at where the function within the absolute value brackets becomes 0. Therefore we find the x value where x+3=0. The point at x=-3 will represent the vertex of the absolute value function, also referred to as the pinnacle or the minimum/maximum point, depending on the direction in which the absolute value "v" opens.<br /><br />Here, as it is a normal absolute function reflection, the minimum value of y will coincide with the vertex. So when x = -3 based on the function y=|x+3|-2, by substituting, y = 0 - 2. Therefore, the minimum value of y is -2.