AFDA – Unit 3: Absolute Value and Piecewise Functions Name: _________________
Day 3 Notes: Graphing Absolute Value Functions
Block: _____ Date:_______
Today…
You will be able to graph Absolute Value Equations
You will be able to describe the shift from the parent function based on the
equation given
You will be able to determine the equation of an Absolute Value graph
The graph of an absolute value function is always ____________________ and
_______________________.
General Form for an Absolute Value Function:
h = ______________________
k = ______________________
a = ___________________________
The __________________________ is the point at which the graph changes direction.
The __________________________ is the imaginary VERTICAL line that cuts the
graph into two identical parts.
1.) y x
2.) y x 3
Vertex:_______ AoS:_______
Vertex:_______ AoS:_______
Direction:________________
Direction:________________
3.) y x
4.) y x 3
5.) y 3 x
6.) y 3 x
7.) y
1
x2 4
2
1
3
8.) y x 1 3
9.) y x 3 1
a= _____ h=_____ k=_____
Transformation:
10.) y 2 x 2 5
2
3
11.) y x 4 1
For the problems on this page, write the equation that produced each graph.
12.)
a=
h=
k=
Equation:
13.)
14.)
0
