1. y = -|x-4| + 6 y = 2|x+3| - 5 Warm up
Identify the vertex, and quickly graph the following.
y = -|x-4| + 6
y = 2|x+3| - 5

2. Graphing Absolute Values
Transformation of Absolute Values
-5|x + 6| +8
Mountain or Valley
Fat or Narrow – slope of the lines
X of the vertex
Y of the vertex
(-6, 8)

3. Math II Day 46 ( )
Standard MM2A1.a
Write absolute value functions as piecewise functions.
Today’s Question:
How do we write absolute values as piecewise functions?

4. Absolute Value Graph
y = |x-3| -2
y = x-5 x≥3
y = -x+1 x≤3

5. Writing as a Piecewise f(x) = 2lx-1l - 4
y = 2(x-1) – 4 and y = -2(x-1) – 4
y = -2x + 2 – 4
y = -2x - 2
y = 2x – 2 – 4
y = 2x - 6
x≤1
x ≥1
Find the Vertex: (1,-4)

6. Another Example
y = 2|x+5| - 3
Find the vertex

7. You try….
y = -3|x-2| + 6
Find the vertex

8. Work Sheet Time