Weight (lbs) Depth (in) www.jasonmyhre.weebly.com 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.

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)

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

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?

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

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

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

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