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Big Ideas Math Algebra 1, 2015

BI

Big Ideas Math Algebra 1, 2015 View details

6. Transformations of Graphs of Linear Functions

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Exercise 7 Page 151

Make a table of values to find points from each graph.

The graph of g is a vertical translation 3 units down the graph of f.

Practice makes perfect

First, let's use a table of values to find points on the graph of f(x)= 13x+3.

x	1/3x+3	f(x)
-3	1/3( -3)+3	2
0	1/3( 0)+3	3
3	1/3( 3)+3	4

We can plot these points and connect them with a straight line to have the graph of f(x).

Now, let's look at how the function g(x)=f(x)-3 differs from f(x).

x	f(x)	f(x)-3	g(x)
-3	2	2-3	-1
0	3	3-3	0
3	4	4-3	1

If we plot these points on the same coordinate plane as f(x), we can compare the two functions.

We see that each y-value is being translated 3 units down. Therefore, the graph of g is a vertical translation 3 units down of the graph f.

Subchapter links

Communicate Your Answer p.145

Monitoring Progress p.147-150

Exercises p.151-154