# Explore Function Translations

## 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?