Transformations and Symmetry

Check all that apply. Which transformation below are considered rigid transformations?

• Translation

• Rotation

• Dilation

• Reflection

Tags

CCSS.HSG.CO.B.6

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

Describe the transformation

f(x) + 4

• shift left 4

• shift right 4

• shift up 4

• shift down 4

Tags

CCSS.HSF.BF.B.3

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

• 
• 
• 
• 

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

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

• x² + 2

• x² - 2

• (x + 2)²

• (x - 2)²

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

Describe the transformation from dotted to solid.

• f(x + 4)

• f(x - 4)

• f(x) + 4

• f(x) - 4

Describe the transformation from dotted to solid.

• f(x + 5) + 3

• f(x +3) + 5

• f(x - 5) + 3

• f(x - 3) + 5