Algebra 2 09/21-22
EQ: What is a parent function?
How do I graph absolute value
function and inequalities with
transformations?
HW: Worksheet due on Thursday
Warm up: See board
Graphing Absolute Value
Use a table to graph y = |x|
x
y
-2
2
-1
1
0
0
1
1
2
2
desmos.com
Graphing Absolute Value Inequality
<
≤
>
≥
dotted line
solid line
≤
≥
<
>
shade below the line
shade above the line
Examples
www.desmos.com
Graphing with
Reflections and Translations
How would you graph y = -|x +4| - 5?
Always start with a parent function.
y = |x|
Parent function - In mathematics, a parent function
is the simplest function of a family of functions that
preserves the definition (or shape) of the entire
family.
What happens when…
y = - |x|
y = |- x|
y = | x + h|
y = | x – h|
y = |x| + k
y = |x| - k
Summarize your findings
y = -|x +4| - 5
What will each part do to the graph?
+4
-5
Create a table
y = -|x +4| - 5
y = |x|
y = |x +4|
x
y
x
-2
2
-1
1
0
0
1
1
2
2
y
y = - |x +4|
x
y
y = - |x +4| - 5
x
y