1. Weight (lbs) Depth (in)
Warm Up 2.4
You are a crime scene investigator investigating a robbery. The only evidence you can find is a muddy footprint that is 4.2 inches deep. You have 3 suspects: a 180 pound freshman, a 300 pound senior and a 375 pound gorilla.
You decide to do an experiment to determine how a person’s weight affects the depth of a footprint. Your results are:
Weight (lbs) 53 79
111
128
Depth (in)
0.3
0.75
0.92
1.4
Create a scatter plot, determine best-fitting line, and accuse your suspect.

2. Use absolute value functions and transformations (2.7)
Unit 2: Linear Equations and Functions
Target 2.4
Use absolute value functions and transformations (2.7)

3. Vertex Graph the parent function of the absolute value function.
Compare to the parent function:
What can you conclude about the effect of adding or subtracting a number outside of the absolute value bars?
Vertex

4. Compare each graph to the parent function
Compare each graph to the parent function. What can you conclude about the effect of adding/subtracting a number inside the absolute value bars?
Transformation: a change in the size, shape, position or orientation of a graph
Translation: a horizontal or vertical shift (slide)
Where is the vertex of the graph?

5. Compare each graph to the parent function
Compare each graph to the parent function. What can you conclude about the effect of multiplying?
Bigger than 1 – ______________
Less than 1 – _______________
Graph
What happens?
Reflection: flip over the x-axis

6. To sum up, the equation of an absolute value equation is given by...
Vertex = (h, k)
If a > 1, _____________(vertical stretch)
If 0 < a < 1, ______________(vertical shrink)
If a < 0, ______________over the x-axis
h is the _____________ shift (____________!)
k is the _____________ shift

7. Sketch and compare (in words) to the parent function.

8. What is the equation of the absolute value function that contains the point (0, 0) and has a vertex at (5, 8)?