Exploring Algebraic Transformations
The Absolute Value Function: f(x) = |x|
1. Use the sliders one at a time to examine the affect of n, h & k on the transformed absolute value function = n|x-h| + k. Record your observations.
2. Compare the parent function to the transformed function when n=2, h=-4 & k=1. Record your observations.
3. PREDICT what will happen to the parent function when n=-0.5, h=2 & k=-3. Use the sliders to check your prediction.
4. Write a summary of conjectures based on your observations.
5. Food for thought: What happens when n=0? Why?