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11-4.

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

1. $f(x)+2$

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 $2$.

1. $f(2x)$

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

$4x−3$

Slope becomes twice as steep.

1. $f(x+2)$

$2x+1$

It was shifted left $2$.

1. $2·f(x)$

$4x−6$

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