Transforming Quadratic Functions

Describe the transformation of y = x² - 5

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

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

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

Which function has a translation of 7 units down and reflects over the x-axis?

• f(x) = -(x - 7)² + 1
• f(x) = (x + 7)² + 1
• f(x) = -(x - 1)² - 7
• f(x) = (x + 1)² - 7

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

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

Describe the transformation of y = x² + 4

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

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

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

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

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

• Wider
• Narrower

Which function has a translation of 2 units right and a vertical stretch by a factor of 5?

• f(x)= 5(x - 2)²
• f(x) = 5(x + 2)²
• f(x) = (x - 2)² - 5
• f(x) = (x + 2)² + 5

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