Function Notation Transformation

Describe the transformation that occurred

p(x) = f(x + 3)

• Right 3 units

• Vertical Stretch

• Up 3 units

• Left 3 units

Describe the transformation that occurred.

h(x) = f(x) + 2

• up 2 units

• left 2 units

• Vertical Stretch

• right 2 units

Describe the transformation that occurred.

w(x) = f(x - 7)

• Down 7

• up 7

• right 7

• vertical compression

Which of the following transformations are present (select all that apply)?

• reflection over horizontal axis

• reflection over vertical axis

• horizontal compression

• vertical shift

• Rotation about origin

Describe the transformations that maps f(x) to g(x) = - f(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

Describe the transformation from dotted to solid.

• g(x) = f(x + 4)

• g(x) = f(x - 4)

• g(x) = f(x) + 4

• g(x) = f(x) - 4

How do we represent a translation 2 units to the left using function notation?

Which statement best describes how reflecting over the x-axis affects the x- and y-values?

• The x-values stay the same while the y-values flip signs

• The x-values flip signs while the y-values stay the same

• Both the x-values and the y-values flip signs

• Both the x-values and the y-values stay the same

How do we represent a reflection across the x-axis in function notation?