1.) Think of the line . Now, all values that are negative become positive because of the absolute value. Because of the -2 on the end, the whole function is shifted down two units.

2.) Think of the basic parabola . Now, all positive values become negative and all negative values become positive because of the negative coefficient. Then, the whole function is shifted up 3 units.

3.) Once again, think of the basic parabola. Because the coefficient of the x term is 2, all of the values are multiplied by 2. Then, the whole function is shifted down 4 units.

4.) Think of the line . Now, all values that are negative become positive because of the absolute value. Because the coefficient is 2, all of the values are multiplied by 2. Then, the whole function is shifted up 3 units.