Transformations of Functions

What is a translation?

• a shift up, down, left, or right

• a flip over the x axis

• stretching or compressing a graph

What is a dilation?

• a shift up, down, left, or right

• a flip over the x axis

• stretching or compressing a graph

What is a reflection?

• a shift up, down, left, or right

• a flip over the x axis

• stretching or compressing a graph

Describe the transformation of the graph  f(x) = x³  + 6

• Right 6
• Left 6
• Up 6
• Down 6

Describe the transformations of the graph g(x) = (x - 3)² -2

• Right 3, Down 2
• Left 3, Up 2
• Right 3, Up 2
• Left 3, Down 2 

Which equation represents the transformation of the graph? The blue line is the original graph.

• g(x)=(x-5)²

• g(x)=(x+5)²

• g(x)=x²+5

• g(x)=x²-5

Which transformation transforms the graph of f(x) = x²

to the graph of g(x) = (x + 4)²?

• a vertical translation 4 units up
• a vertical translation 4 units down
• a horizontal translation 4 units to the left
• a horizontal translation 4 units to the right

• Shift RIGHT and DOWN

• Shift LEFT and DOWN

• Shift LEFT and UP

• Shift RIGHT and UP

• 3

• -3

• 5

• 3

• -3

• 5