CPM Homework Help : PC Problem 4-31

Using the graph at right of f(x), sketch the following functions (draw each on a separate grid). Homework Help ✎
1. f(x) + 2
2. 2f(x + 1)
3. −f(x − 2)
4. f(2x)

Hint (a):

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

Hint (b):

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?

Hint (c):

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

Hint (d):

f(8) in the original function occurs
when x = 4 in the new function.