Transformations of functions

f(x) = 5x² + 2

• Stretch of 5
  Up 2
• Shrink of 5
  Up 2
• Stretch of 5
  Down 2
• Shrink of 5
  Down 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

. 
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

Tags

CCSS.HSF.BF.B.3

CCSS.HSA.REI.D.11

If the parent function (in blue) is f(x)=x³ then what is the equation for the red function?

• g(x)=x³+1

• g(x)=x³-1

• g(x)=(x-1)³

• g(x)=(x+1)³

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

• g(x)=(x+3)²
• g(x)=(x-3)²
• g(x)=x²+3
• g(x)=x²-2

Tags

CCSS.HSF.BF.B.3

CCSS.HSA.REI.D.11

What are the following transformations to f(x)?

- f(x+2)

• reflection over the y axis and 2 units to the right

• reflection over the x axis and 2 units right

• reflection over the y axis and 2 units left

• reflection over the x axis and 2 units left

What are the following transformations:
f(-x) - 4

• reflection over the x axis and 4 units right
• reflection over the x axis and 4 units down
• reflection over the y axis and 4 units right
• reflection over the y axis and 4 units down

Tags

CCSS.HSF.BF.B.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

Which equation describes the transformation of shifting f(x)=x³ four units down?

• x³+ 4
• x³- 4
• (x - 4)³
• (x + 4)³

Tags

CCSS.HSF.BF.B.3

Which equation describes the transformation of shifting f(x)=x³ seven units up?

• x³+7
• x³-7
• (x-7)³
• (x+7)³

Tags

CCSS.HSF.BF.B.3

Which equation describes the transformation of shifting f(x)=x³ three units left?

• x³ + 3
• x³ - 3
• (x + 3)³
• (x - 3)³

Tags

CCSS.HSF.BF.B.3