Polynomial Transformations

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = x² + 6?

• a translation shifting f(x) 6 units up

• a translation shifting f(x) 6 units down

• a translation shifting f(x) 6 units to the left

• a translation shifting f(x) 6 units to the right

Given f(x) = x², the function g(x) = (x + 9)², is transformed how?

• Shifted left 9 units

• Shifted right 9 units

• Shifted up 9 units

• Shifted down 9 units

Describe the transformations of the graph y = (x - 3)² - 2 from the original parent function y = x²

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

• Widen by factor of 2

  Reflected over x-axis

  Right 5

• Narrow by factor of 2

  Reflected over x-axis

  Left 5

• Narrow by a factor 2

  Right 5

• Widen by a factor of 2

  Left 5

Which of the following functions is the NARROWEST?

• f(x) = 2x²

• g(x) = -6x²

• h(x) = 4x²

Which of the following equations is the image of y = (x + 4)² + 3, after shifted 5 units up?

• y = (x + 4)² + 5

• y = (x + 4)² + 8

• y = (x + 9)² + 3

• y = (x + 5)² + 3

If f(x) = |x| is changed to g(x) = |x + 3| + 2, how is the graph transformed?

• 3 units right

  2 units up

• 3 units left

  2 units up

• 3 units up

  2 units right

• 3 units down

  2 units right

  The blue function is the original function f(x) = x³.  Which of the following is the correct equation for the red function, g(x)?

• g(x) = x³ + 1

• g(x) = x³ - 1

• g(x) = (x - 1)³

• g(x) = (x + 1)³

Tags

CCSS.HSF.BF.B.3