Transforming Quadratic Functions

Compare the function y = 5x² to the parent function y = x²

• Wider
• Narrower

Describe the transformation of y = x² + 4

• Shift UP
• Shift DOWN
• Shift LEFT
• Shift RIGHT

Describe the transformation of y = (x - 4)²

• Shift UP
• Shift DOWN
• Shift LEFT
• Shift RIGHT

Describe the transformation of y = x² - 5

• Shift UP
• Shift DOWN
• Shift LEFT
• Shift RIGHT

Describe the transformation of y = (x + 7)²

• Shift UP
• Shift DOWN
• Shift LEFT
• Shift RIGHT

Describe the transformation of y = 3(x - 3)² + 3

• Narrow, Right, Up
• Narrow, Left, Down
• Wide, Right, Up
• Wide, Left, Down

If the blue is f(x)=x^2, then the red must be

• g(x)=x²-5
• g(x)=x²+5
• g(x)=(x-5)²
• g(x)=(x+5)²

Which equation describes the transformation of shifting f(x)=x² two units right?

• x² + 2
• x² - 2
• (x + 2)²
• (x - 2)²

Given f(x) = (x-3)² + 5.  What transformations took place from the original function f(x)?

• Left 3 and up 5
• Right 3 and down 5
• Left 3 and down 5
• Right 3 and up 5

Identify the transformation from the graph of f(x)=x² to the graph g(x)= -(x+5)² 

• shifted up five units
  reflection in x-axis
• shifted down five units
  reflection in x-axis
• shifted left 5 units
  reflection x-axis
• shifted right 5 units
  reflection x-axis