Transformations

Function Notation

100

What type of transformation is f(x+d)?

Vertical translation up d units 

200

What type of transformation is f(-x)?

Reflection over y-axis 

300

What type of transformation is -f(x)?

Reflection over the x-axis

400

What type of transformation is f(x-c)?

Horizontal translation the the right

500

What type of transformation is af(x)?

Vertical stretch for when a is greater than 1 

Vertical compression for when a is between 0 to 1

Change to a Point

100

(x,y) reflected over x-axis

x,-y

200

What is (x,y) with a vertical translation up d units?

(x,y+d)

300

What is (x,y) reflected over the y-axis?

(-x,y)

400

What is (x,y) translated c to the right?

(x+c,y)

500

What is (x,y) horizontally translated the the left? 

(x-c,y)

Transform the Given Function

100

Expand f(x)=x^2 vertically by 3 and translate down 3 units. 

g(x)=3fx-3