Find the slope of the points 1. (4, 8) and (-2, -6) 2. (-6, 3) and (-2, 9) 3. (-4, -1) and (-8, -8)

Find the slope of the points 1. (4, 8) and (-2, -6) 7/3 2. (-6, 3) and (-2, 9) 3/2 3. (-4, -1) and (-8, -8) 7/4

2.6 Day 2 Notes: Absolute Value Functions Agenda Warm Up Check Homework 2.6 Day 2 Notes

Absolute Value Functions Vertex: the corner point of the graph **Notice that the graph of y = |x| is symmetric in the y-axis because for every point (x, y) on the graph, the point (-x, y) is also on the graph. To the left of x = 0 the graph is given by the line y = -x To the right of x = 0 the graph is given by the line y = x

Graphing absolute value functions The graph of y = a|x – h| + k has the following characteristics: The graph has vertex (h, k) and is symmetric in the line x = h. The graph is V-shaped. It opens up if a > 0 and down if a < 0. The right side of the graph has a slope of a.

Example 1 b) y = -1/4|x| + 5 a) y = 6|x +3| - 4 i) Tell whether the graph opens up or down. ii) Find the vertex. iii) Find the slope of the right side of the graph. a) y = 6|x +3| - 4 b) y = -1/4|x| + 5

Brain Break! Two truths and one lie: High School Edition! 1. I ran hurdles in track in high school and got 4th place in conference for the 100m. 2. I played first base on my softball team in high school. 3. I went to Naperville North High School but graduated at Ravenwood High School in Brentwood, Tennessee.

Example 2: Graph b) y = |x – 2| – 3 a) y = –|x – 1| + 1

Example 3: Write an equation of the graph shown. a) b)

Exit Slip A. B. C. D.