### Home > PC > Chapter 4 > Lesson 4.1.2 > Problem 4-31

4-31.

Using the graph at right of*f*(*x*), sketch the following functions (draw each on a separate grid). Homework Help ✎*f*(*x*) + 22

*f*(*x*+ 1)−

*f*(*x*− 2)*f*(2*x*)

The function value, *f*(*x*), is the *y*-value. How does the graph change if 2 is added to each *y*-value?

New function: If *x* = 1, *f*(new) is equivalent to *f*(2) from the original function. Also, what does multiplication by 2 do to the function?

See part (b). Also, *f*(*x*) became −*f*(*x*), or *y* became −*y*.

*f*(8) in the original function occurs

when *x* = 4 in the new function.