Transformations of Functions

Front

Back

3 Units Up

Front

Back

2 Units Right

Front

Back

5 Units Left

Front

Back

6 Units Down

Front

Back

4 Units Left, 6 Units Down

Front

Back

Reflected across the x-axis, 2 Units Up

Front

If the blue is f(x)=x², then the red must be: g(x)=x²-5, g(x)=x²+5, g(x)=(x-5)², g(x)=(x+5)²

Back

g(x)=x²-5

Front

Back

g(x)=(x-1)³

Front

If the blue is f(x)=x², the red must be: g(x)=(x+3)², g(x)=(x-3)², g(x)=x²+3, g(x)=x²-2

Back

g(x)=(x-3)²

Front

What are the following transformations?
- f(x+2)

Back

reflection over the x axis and 2 units left