### Home > CCA > Chapter 11 > Lesson 11.1.1 > Problem 11-4

11-4.

Given the linear function

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

*· f*(*x*)

Substitute 2*x* − 3 for *f*(*x*). Then simplify.

When you graph the original function and the new one,

what changed from the first to the second?

2*x* − 1

It was shifted up 2.

Substitute 2*x* for *x* in 2*x* − 3.

Then simplify.

4*x* − 3

Slope becomes twice as steep.

2*x* + 1

It was shifted left 2.

4*x* − 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