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11-4.
  1. Given the linear function f(x) = 2x − 3, find the new expression for each part below and describe the transformation. 11-4 HW eTool (Desmos). Homework Help ✎

    1. f(x) + 2

    2. f(2x)

    3. f(x + 2)

    4. 2 · f(x)

Substitute 2x − 3 for f(x). Then simplify.
When you graph the original function and the new one,
what changed from the first to the second?

2x − 1
It was shifted up 2.

Substitute 2x for x in 2x − 3.
Then simplify.

4x − 3

Slope becomes twice as steep.

2x + 1

It was shifted left 2.

4x − 6

Use the graphs on the eTool below for help with this problem.
Click on the link at right for the full eTool version: CCA 11-4 HW eTool