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

2. 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

5. 2.6 Day 2 Notes: Absolute Value Functions
Agenda
Warm Up
Check Homework
2.6 Day 2 Notes

6. 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

7. 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.

8. 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

9. 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.

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

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

12. Exit Slip
A. B.
C. D.