# Function Transformations Discovery Worksheet

## Directions

## 1.

What happens when you add to the input f(x+a) shown with the red graph?

## 2.

What happens when you add to the output f(x)+a shown with the blue graph?

## 3.

What happens when you multiply the input f(a*x) shown with the orange graph?

## 4.

What happens when you multiply the output a*f(x) shown with the purple graph?

## 5.

Change the function to . Are your answers to questions 1-4 the same? What is different than your predictions from questions 1-4?

## 6.

Change the funciton to . Are your answers to questions 1-5 the same? What is different than your predictions from questions 1-5?

## 7.

What can you conclude about the effects of the following? -Adding to the input f(x+a) -Adding to the output f(x)+a -Multiplying the input f(a*x) -Multiplying the output a*f(x)

## 8. What is true in general about a change to a functions input?

## 9.

What is true in general about a change to a functions output?

## 10.

What is true about an additive change to a function?

## 11.

What is true about a multiplicative change to a function?