5-8 Graphing absolute value functions

5-8 Graphing absolute value functions Objective: graph an absolute value fn and translate the graph of an absolute value fn.

5-8 Graphing absolute value functions • Absolute value has a graph that is v shaped an opens up or down. • A translation is a shift of a graph horizontally, vertically or both. The result is a graph of the same size and shape but in a different position.

5-8 Graphing absolute value functions • Lets graph y = |x|, then we can quickly graph absolute value equations by shifting it.

5-8 Graphing absolute value functions • Lets graph y = |x|, then we can quickly graph absolute value equations by shifting it. • Translation???????????? If This is y = |x| - 2

5-8 Graphing absolute value functions • y = |x| + k shifts up k units. • y = |x| - k shifts down k units. • Graph y = |x| + 2

5-8 Graphing absolute value functions • y = |x + 2| y = |x – 2| • Conclusion about y = |x + h| and y = |x – h|

5-8 Graphing absolute value functions • y = |x + h| shifts left h units • y = |x – h| shifts right h units • (backward from what expect)

5-8 Graphing absolute value functions • Graph y = |x + 5|

5-8 Graphing absolute value functions • Example 4 Graphing a step function • A school will charter buses so that the student body can attend a football game. Each bus holds a maximum of 60 students. Make a graph that models the relationship between the number of students, x that go to game by bus and the number of buses y that are needed. • x y

5-8 Graphing absolute value functions • HW p. 349 7 – 29 odds

5-8 Graphing absolute value functions