Transformation of Functions

What are the transformations of this functions compared to the parent function y = √(x)?

• Shifted right 5, shifted down 2, and reflected over the x-axis

• Reflected over the x-axis, vertical stretch of 2, and shifted right 5

• Reflected over the x-axis, vertical stretch of 2, and shifted left 5

• Shifted right 5, shifted down 2

Describe the transformation of y = f(x) for the new function
 y = f(x) - 5

• The graph of y = f(x) was shifted to the right 5 units. 
• The graph of y = f(x) was shifted to the left 5 units. 
• The graph of y = f(x) was shifted up 5 units. 
• The graph of y = f(x) was shifted down 5 units.

Tags

CCSS.HSF.BF.B.3

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

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

Tags

CCSS.HSF.BF.B.3

  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

If the original function is f(x) then state the transformation that takes f(x) to g(x) = -|x + 3|

• Reflect over y-axis

  Left 3

• Reflect over y-axis

  Right 3

• Reflect over x-axis

  Left 3

• Reflect over x-axis

  Right 3

• f(x) = −(x−2)³−1
• f(x) = −(x+2)³−1
• f(x) = −(x−2)³ + 1
• f(x) = −(x+2)³ + 1

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.APR.A.1

CCSS.HSA.REI.D.11

• f(x)=3∣x−2∣−2
• f(x)=1/3∣x+2∣−2
• f(x)=3∣x+2∣−2
• f(x) = 1/3∣x−2∣+2

Tags

CCSS.HSF.BF.B.3

CCSS.HSA.CED.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

What is the equation of this graph?

• f(x) = (x + 2)² - 3

• f(x) = (x - 2)² - 3

• f(x) = 2|x + 2| - 3

• f(x) = 2|x - 2| - 3

Which of the following transformations are present?
-2f(x - 1) + 2

• Shift 1 unit down
• Shift 1 unit up
• Shift 1 unit left
• Shift 1 unit right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation of y = f(x) for the new function

f(x) = ⅔(x - 7)²

• Vertical Compression of ⅔

  Right 7

• Vertical Compression of ⅔

  Left 7

• Vertical Stretch of ⅔

  Right 7

• Vertical Stretch of ⅔

  Left 7