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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 10 Page 8

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

Graph:

Transformation: A vertical translation 6 units down.

Practice makes perfect

The given function is linear, so its parent function is y=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 functions, we will use their slopes and y-intercepts.

Function	Slope-intercept form	Slope	y-intercept
y=x	y= 1x+ 0	1	0
y=x-6	y= 1x+( -6)	1	-6

Now let's plot the functions! In both cases, start at the y-intercept and draw a line using the slope.

Comparing the Functions

Having drawn our functions, we can describe the transformation.

We see that each y-value is being shifted 6 units down. This is a vertical translation.

Subchapter links

Communicate Your Answer p.3

Monitoring Progress p.4-7

Exercises p.8-10