Rational Functions - Transformations

Topic:
Functions

Rational Functions. Use the sliders to explore how a, h, and k affect the graph. Then answer the questions below.

Use the sliders one at a time to examine the affect of a, h, and k to the graph. 1. How does a affect the graph? 2. How does h affect the graph? 3. How does k affect the graph? 4. What is the domain and range of the parent function? 5. As a changes, does this affect the domain or range? Explain. 6. As h changes, does this affect the domain or range? Explain. 7. As k changes, does this affect the domain or range? Explain. 8. What happens if a = 0?