Transformations of Functions

• y = (x - 1)² - 2
• y = (x + 1)² - 2
• y = (x - 2)² + 1
• y = (x + 2)² - 1

Tags

CCSS.HSF-IF.C.7A

• y = (x - 2)² + 4
• y = -(x - 4)² + 2
• y = -(x - 2)² + 4
• y = -(x + 2)² + 4

Tags

CCSS.HSF-IF.C.7A

• y = Ix + 3I - 1
• y = Ix - 3I - 1
• y = Ix + 1I + 3
• y = Ix - 1I + 3

Tags

CCSS.HSF-IF.C.7D

• horizontal trans left 15, vertical trans down 10
• horizontal trans right 15, vertical trans down 10
• horizontal trans right 15, vertical trans up 10
• horizontal trans left 15, vertical trans up 10

• horizontal shift right 8, vertical reflection (flip over x-axis)
• horizontal shift left 8, vertical reflection (flip over x-axis)
• horizontal shift right 8, horizontal reflection (flip over y-axis)
• horizontal shift left 8, horizontal reflection (flip over y-axis)

• A.
• B.
• C.
• D.

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.C.7

• A.
• B.
• C.
• D.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Identify the transformations. 

• horizontal shift to the left 2 and vertical stretch by a factor of 3
• horizontal shift to the right 2 and vertical stretch by a factor of 3
• horizontal shift to the right 2 and vertical shrink by a factor of 3
• horizontal shift to the left 2 and vertical shrink by a factor of 3

Tags

CCSS.HSF.BF.B.3

The original function has equation f(x).  State the transformations given the new function f(x) = ⅔(x - 7)² 

• Vertical Shrink of ⅔
  Right 7
• Horizontal Shrink of ⅔
  Left 7
• Left  ⅔
  Vertical stretch of 7
• Right ⅔
  Horizontal stretch of 7

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

If the yellow curve has equation f(x)=x²,

• Then the blue curve is f(x) = x² - c
• Then the blue curve is f(x) = (x+c)²
• Then the blue curve is f(x) = (x-c)²
• Then the blue curve is f(x) = x² + c

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7