2-7 Absolute Value Functions and Graphs Algebra 2
Learning Goals: Students will graph absolute value functions
Warm-up: Graph: y  3 x  4  2
Absolute Value Function:
f ( x)  x
Extension : y  a x  h  k vertex is (h,k)
axis of symmetry is x  h
The graph of an absolute value function is V-shaped and symmetric about a vertical line.
Graph each, identify the vertex, axis of symmetry, Plot x and y intercept if the graph goes
through the x and y intercept, and state the transformations.
1.
y  2 x4 3
Vertex:
AOS:
Transformation:
2.
y  3 x
Vertex:
AOS:
Transformation:
3.
y
1
x 1  2
3
Vertex:
AOS:
Transformation:
Writing an absolute value function:
Steps to Success:
1. Identify the vertex.
2. Identify a by looking at the slope of the branch to the right of the vertex.
3. Write the equation.
4. Write the equation of the absolute value function.
a.
b.