# Explore Function Translations

Author:
Mrs_Leifer

## 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 (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?

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?

## 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?

## 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?