Polynomial Transformations Practice

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

If the blue graph 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

What transformation does y=(x-6)³ make to the parent function y=x³

• move left

• move right

• flip

• move up

• move down

In the equation f(x)= x² + 9, what happens to the parabola?

• right 9

• left 9

• up 9

• down 9

How did we transform from y=x² to
y = -3x²

• reflection in x-axis and vertical shift down

• reflection x-axis and vertical stretch

• horizontal stretch

• reflection x-axis and vertical compression

Match the equation to its description.

• Vertical Stretched by 2 and translation up 4

•  Vertical Compressed by 2 and translation up 4

• Horizontal Stretched by 2 and translation left 4

• Horizontal Compressed by 2 and translation right 4

What are the following transformations:

g(x) = (x-5)³ - 4

• Shifted right 5 and down 4

• Shifted left 5 and down 4

• Shifted left 5 and up 4

• Shifted right 5 and up 4