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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 9 Page 151

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

The graph of g is a horizontal translation 5 units left of the graph of f.

Practice makes perfect

First, let's use a table of values to find points on the graph of f(x)=- x-2.

x	- x-2	f(x)
-2	-( -2)-2	0
0	-( 0)-2	-2
2	-( 2)-2	-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+5) differs from f(x).

x	- x - 2	f(x)	f(x+5)	g(x)
-7	-( -7) - 2	5	-( -7+5)-2	0
-5	-( -5) - 2	3	-( -5+5)-2	-2
-3	-( -3) - 2	1	-( -3+5)-2	-4

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 5 units left. So, the graph of g is a horizontal translation 5 units left of the graph of f.

Subchapter links

Communicate Your Answer p.145

Monitoring Progress p.147-150

Exercises p.151-154