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
x2 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.)