body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Houghton Mifflin Harcourt Algebra 1, 2015

HM

Houghton Mifflin Harcourt Algebra 1, 2015 View details

2. Absolute Value Functions and Transformations

Continue to next subchapter

Exercise 2 Page 475

Start with making a table of values for x and g(x).

Practice makes perfect

In order to graph the given absolute value function, we can make a table of values.

x	g(x)=\|x-4\|+2	Simplified Absolute Value	g(x)
0	g( 0)=\| 0-4\|+2	g( 0)=(4)+2	6
2	g( 2)=\| 2-4\|+2	g( 2)=(2)+2	4
4	g( 4)=\| 4-4\|+2	g( 4)=(0)+2	2
6	g( 6)=\| 6-4\|+2	g( 6)=(2)+2	4
8	g( 8)=\| 8-4\|+2	g( 8)=(4)+2	6

Now we can graph g(x) by plotting the points and connecting them with straight lines on either side of the vertex.

Subchapter links

Explore p.471-474

Elaborate p.475

Evaluate: Homework and Practice p.475-478

Lesson Performance Task