Explore Function Translations
- Author:
- Mrs_Leifer
- Topic:
- Functions, Translation
Essential Questions:
1. What similarities exists between function translations?
2. How does f(x) change based on a, h, and k?
Linear Function Translations
Linear Function (Point Slope Form)
Use the green, red, and blue buttons to observe the effect of a, h, and k
Answer the following questions
1. How does a affect the graph?
2. How does h affect the graph?
3. How does k affect the graph?
Linear Function Translations
Quadratic Function Translations
Quadratic Function (Vertex Form)
Use the green, red, and blue buttons to observe the effect of a, h, and k
Answer the following questions
1. How does a affect the graph?
2. How does h affect the graph?
3. How does k affect the graph?
Quadratic Function Translations
Radical Function Translations
Radical Function
Use the green, red, and blue buttons to observe the effect of a, h, and k
Answer the following questions
1. How does a affect the graph?
2. How does h affect the graph?
3. How does k affect the graph?
Radical Function Translations
Hyperbolic Function Translations
Hyperbolic Function
Use the green, red, and blue buttons to observe the effect of a, h, and k
Answer the following questions
1. How does a affect the graph?
2. How does h affect the graph?
3. How does k affect the graph?
Hyperbolic Function Translations
Conclusions
Given any function f(x), how might you expect f(x-3) to behave?
Given any function f(x), how might you expect f(x)+5 to behave?
Given any function f(x), how might you expect -3f(x) to behave?