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Big Ideas Math Algebra 2, 2014

BI

Big Ideas Math Algebra 2, 2014 View details

1. Parent Functions and Transformations

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Exercise 24 Page 9

Describe the parent function, then use slope to graph the functions.

Graph:

Transformation: A vertical stretch by a factor of $\frac{4}{3} .$

Practice makes perfect

The given function is linear, so its parent function is $f (x) = x .$ We will start by graphing both functions in one coordinate plan. Then we will compare them to describe the transformation.

Graphing the Functions

To graph both of the functions, we will use their slopes and $y -$ intercepts.

Function	Slope-intercept form	Slope	$y -$ intercept
$y = x$	$y = 1 x + 0$	$1$	$0$
$y = \frac{4}{3} x$	$y = \frac{4}{3} x + 0$	$\frac{4}{3}$	$0$

Subchapter links

Communicate Your Answer p.3

Monitoring Progress p.4-7

Exercises p.8-10