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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

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Exercise 12 Page 159

Write $g (x)$ in terms of $f (x) .$ Apply one transformation at a time.

Transformations: The transformations are a reflection in the $x -$ axis, then a vertical translation $3$ units up.

Practice makes perfect

We are asked to graph $f (x) = x$ and $g (x) = - x + 3 .$ Also, we need to find the transformations from the graph of $f$ to the graph of $g .$

Graph of $f (x)$

To graph $f (x),$ we will first make a table of values.

$x$	$f (x)$
$- 3$	$- 3$
$0$	$0$
$3$	$3$

Now, we can plot these points and connect them with a straight line to have the graph of

f (x) .

Subchapter links

Exercises p.159