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

Presentation

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Mathematics

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10th - 12th Grade

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Hard

•

CCSS

HSF.BF.B.3, HSG.CO.A.2, HSF.IF.A.2

Standards-aligned

Beatrice Thames

Used 12+ times

FREE Resource

7 Slides • 7 Questions

(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

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

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