# Function Transformation Lesson

## You may try to Change the numbers which cause different effects of the functions

First Enter your main Function and then change the values to see the transformed function

## Notes-1

Use the Applet above and check this: We can stretch or compress f(x) in the y-direction by multiplying the whole function by a constant. if C> 1 : it will stretch the f(x) in the y-direction if 0 < C < 1: it will compress the function in the y-direction. go up and try

## Notes-2

Use the Applet above and check this: We can stretch or compress f(x) in the x-direction by multiplying 'x' by a constant.
• D > 1 compresses it
• 0 < D < 1 stretches it
Note that (unlike for the y-direction), bigger values cause more compression.

## Using Notes 1 & 2 answer the following questions

Q1. Compare g(x) with f(x)

Select all that apply
• A
• B
• C
• D

## Q2.

Compare g(x) with f(x)

Select all that apply
• A
• B
• C
• D

## Q3.

Compare g(x) with f(x)

Select all that apply
• A
• B
• C
• D

## Notes-3

We can move it up or down by adding a constant to the y-value g(x) = x2 + K or Note: to move the line down, we use a negative value for K.
• K > 0 moves it up
• K < 0 moves it down

## Notes-4

We can move it left or right by adding a constant to the x-value g(x) = (x+h)2  or Note: Adding h moves the function to the left (the negative direction).
• h > 0 moves it left
• h < 0 moves it right
will move 3 units to the right of the y-axis , beause x-3= 0 or x= 3 (positive menas right) will move 4 units to the left of y-axis because x+4= 0 means x= -4 ( so left)

## Based on Notes 3 and 4 answer these Questions

Q4. if and compare g(x) with f(x)

Select all that apply
• A
• B
• C
• D

## Q5.

if and compare g(x) with f(x)

Select all that apply
• A
• B
• C
• D

## Q6. Use all the facts you have learned

if and compare g(x) with f(x)

Select all that apply
• A
• B
• C
• D