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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

5. Solving Equations by Graphing

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Exercise 46 Page 248

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

The graph of g is a horizontal translation by 2 units to the left of the graph of f.

Practice makes perfect

Let's graph f(x) first, then we can graph g(x) on the same coordinate plane to compare them.

Graphing f(x)

We can make a table of values to find points of the graph of f(x)=x-5.

x	x-5	f(x)=x-5
-2	- 2-5	- 7
0	0-5	- 5
2	2-5	- 3

Let's plot these points and connect them with a straight line to obtain the graph of f(x).

graph of f(x)

Graphing g(x)

Now, let's look at how the function g(x)=f(x+2) differs from f(x).

x	f(x)=x-5	f(x+2)=(x+2)-5	g(x)=f(x+2)
- 2	- 7	- 2+2-5	- 5
0	- 5	0+2-5	- 3
2	- 3	2+2-5	- 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 2 units to the left. This is a horizontal translation.

Subchapter links

Communicate Your Answer p.243

Monitoring Progress p.244-246

Exercises p.247-248