(01/07) ALG 2 Unit 4B: Function Notation (Transformation)

(01/07) ALG 2 Unit 4B: Function Notation (Transformation)

Multiple Select

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

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

• reflection over x- axis

• reflection over y-axis

• horizontal compression

• vertical stretch

• Rotation about origin

Multiple Choice

What does the transformation $f\left(x\right)\ \rightarrow\ \frac{1}{3}f\left(x\right)+4$ do to the graph of  $f\left(x\right)$  ?

• Shrinks the graph vertically by a factor of 1/3 and translates up 4 units.

• Stretches the graph by a factor of 3 and translates up 4 units.

• Translates the graph left 1/3 of a unit and up 4 units.

• Translates the graph right 3 unites and down 4 units.

• Shrinks the graph horizontally by a factor of 1/3 and translates up 4 units.

Multiple Choice

What does the transformation $f\left(x\right)\ \rightarrow\ f\left(x+1\right)-9$ do to the graph of  $f\left(x\right)$  ?

• translates it left one unit and down 9 units

• translates it right one unit and down 9 units

• translates it up one unit and right 9 units

• translates it down one unit and left 9 units

Multiple Choice

What are the following transformations:

g(x) = f(-x) - 4

• reflection over the x axis and 4 units right

• reflection over the x axis and 4 units down

• reflection over the y axis and 4 units right

• reflection over the y axis and 4 units down

Multiple Choice

What are the following transformations?

g(x) = - f(x+2)

• reflection over the y axis and 2 units to the right

• reflection over the x axis and 2 units right

• reflection over the y axis and 2 units left

• reflection over the x axis and 2 units left

Multiple Choice

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

Multiple Choice

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