Transformations of Graphs in Words

The graph shows the function f(x)=x² in blue and another function g(x) in red. Which description could describe this transformation?

• Vertical compression by 1/2

• Horizontal compression by 1/2

• Horizontal stretch by 2

• Vertical stretch by 1/2

• Reflection over y-axis; Right 3; Up 1
• Right 3; Up 1
• Reflection over x-axis; Left 3; Up 1
• Reflection of x-axis; Right 3; Up 1

Tags

CCSS.HSF.BF.B.3

y=\left(4x+4\right)^2-3

• A vertical stretch by a factor of 4 and shift down 3; Horizontal shift left 1

• A vertical compression by a factor of 1/4 and shift down 3; horizontal shift left 4

• A horizontal stretch by a factor of 1/4 and shift right 1; vertical shift down 3
  

• A horizontal compression by a factor of 1/4 and shift left 1; vertical shift down 3

f(x) = |-x + 3|

Describe the horizontal transformations

• Reflect over y-axis

  Left 3

• Reflect over y-axis

  Right 3

• Reflect over x-axis

  Left 3

• Reflect over x-axis

  Right 3

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

• up 3

  left 12

• right 3

  down 12

• left 3

  up 12

• left 3

  down 12

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

Describe the transformation from dotted to solid.

• f(x + 4)

• f(x - 4)

• f(x) + 4

• f(x) - 4

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

• reflected over x axis, stretched by 2, right 3, up 3

• reflected over x axis, stretched by 2, left 3 up 3.

• reflected over x axis, shrunk by 2, right 3, up 3

• reflected over the x axis, shrunk by 2, left 3, up 3