REVIEW - Transformation of functions

Describe the transformation

f(-x)

• reflect over the x-axis

• shift up

• shift down

• reflect over the y-axis

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation

f(x) + 4

• shift left 4

• shift right 4

• shift up 4

• shift down 4

Tags

CCSS.HSF.BF.B.3

Describe the transformation

f(x+5)

• shift left 5

• shift right 5

• shift up 5

• shift down 5

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation

f(x-7)

• shift left 7

• shift right 7

• shift up 7

• shift down 7

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

• up 3

  left 12

• right 3

  down 12

• left 3

  up 12

• left 3

  down 12

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

If f(x) is the graph below, which graph represents f(x) - 3?

• 
• 
• 
• 

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

• 
• 
• 
• 

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Describe the transformations that maps
y = g(x) to y = - g(x + 6) - 10

• Reflect over y-axis
  Shifted down 10 units
  Shifted left 6 units
• Reflect over x-axis
  Shifted up 10 units
  Shifted left 6 units
• Reflect over y-axis
  Shifted up 10 units
  Shifted right 6 units
• Reflect over x-axis
  Shifted down 10 units
  Shifted left 6 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

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

. 
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.HSA.REI.D.11

CCSS.HSF.BF.B.3