Function Notation Transformations Check Point

Which transformation will occur if f(x) = x² is replaced with 2⋅f(x)?

• Vertical Compression by a factor of 2

• Vertical Stretch by a factor of 2

• Vertical translation up by 2 units.

• Reflection across the x-axis.

Describe the transformation that occurred

h(x) = 1/5f(x)

• vertical stretch by 5

• vertical compression by 5

• vertical translation by 5

• vertical translation by -5

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

-2f(2(x - 1)) + 2

• reflection over horizontal axis

• reflection over vertical axis

• horizontal compression

• vertical shift

• Rotation about origin

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

If the original graph is f(x), and the new graph has been moved two to the left, what would be the new graph in f(x) notation?

• f(x + 2)

• f(x) + 2

• f(x - 2)

• f(x) - 2

If the original graph is f(x) and the new graph has been moved 3 to the right, how would one write that in function notation?

• f(x - 3)

• f(x + 3)

• f(x) + 3

• f(x) - 3

Describe the transformation of y = f(x) to the new function
 y = f(1/5x)

• Horizontal shrink by a factor of 1/5

• Vertical stretch be a factor of 5

• Vertically shrink by a factor of 1/5

•  Horizontal stretch by a factor of 5

Tags

CCSS.HSF.BF.B.3