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Big Ideas Math Algebra 1, 2015
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Big Ideas Math Algebra 1, 2015 View details
6. Transformations of Graphs of Linear Functions
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Exercise 30 Page 152

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

The graph of g is a reflection in the x-axis 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)=- 4x+8.

x - 4x+8 f(x)
0 - 4( 0)+8 8
2 - 4( 2)+8 0
4 - 4( 4)+8 -8
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) differs from f(x).

x f(x) - f(x) g(x)
0 8 -( 8) -8
2 0 -( 0) 0
4 -8 -( -8) 8

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

We see that each point is flipped over the x-axis. Therefore, the graph of g is a reflection in the x-axis of the graph of f.

Subchapter links expand_more
arrow_right Communicate Your Answer p.145
4
arrow_right Monitoring Progress p.147-150
Monitoring Progress 1 (Page 147)
Monitoring Progress 2 (Page 147)
Monitoring Progress 3 (Page 149)
Monitoring Progress 4 (Page 149)
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arrow_right Exercises p.151-154
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