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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

Chapter Review

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Exercise 26 Page 158

Make a table of values to find points of both $f (x)$ and $h (x) .$ Recall the definition of a vertical stretch and shrink.

Graph:

Transformation: The graph of $h$ is a vertical stretch from the graph of $f$ by a factor of $3 .$

Practice makes perfect

We are asked to graph $f (x) = 3 x + 4$ and $h (x) = 3 f (x) .$ Also, we need to find the transformations from the graph of $f$ to the graph of $h .$

Graph of $f (x)$

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

$x$	$3 x + 4$	$f (x)$
$0$	$3 (0) + 4$	$4$
$1$	$3 (1) + 4$	$7$
$2$	$3 (2) + 4$	$10$

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

f (x) .

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Subchapter links

1 Functions p.156

2 Linear Functions p.156

3 Function Notation p.157

4 Graphing Linear Equations in Standard Form p.157

5 Graphing Linear Equations in Slope-Intercept Form p.158

6 Transformations of Graphs of Linear Functions p.158