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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 8 Page 151

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

The graph of g is a vertical translation 1 unit up from the graph of f.

Practice makes perfect

First, let's use a table of values to find points on the graph of f(x)=-3x+4.

x - 3x+4 f(x)
-2 - 3( -2)+4 10
0 - 3( 0)+4 4
2 - 3( 2)+4 - 2
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)+1 differs from f(x).

x f(x) f(x)+1 g(x)
-2 10 10+1 11
0 4 4+1 5
2 -2 -2+1 -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 1 units up. So, the graph of g is a vertical translation 1 unit up 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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