CPM Homework Help : CCA Problem 11-4

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

11-4.

Given the linear function $f(x)=2x−3$ , find the new expression for each part below and describe the transformation.

$f(x)+2$
Hint (a):
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?
Answer (a):
$2x−1$
It was shifted up $2$ .

$f(2x)$
Hint (b):
Substitute $2x$ for $x$ in $2x−3$ .
Then simplify.
Answer (b):
$4x−3$
Slope becomes twice as steep.

$f(x+2)$
Answer (c):
$2x+1$
It was shifted left $2$ .

$2·f(x)$
Partial Answer (d):
$4x−6$

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

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