Algebra 2 Transformations of Functions

Tags

HSF-BF.B.3

For each function, determine whether it is even, odd, or neither. Explain how you know.

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Tags

HSF-BF.B.3

The red function is a transformation of the blue, parent function. Which option is a possible equation for the red function?

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• A

• B

• C

• D

Match the following graphs to the correct transformations of f(x) = x (BLACK LINE) to g(x) (RED LINE).

• g(x) = 3f(x)

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• g(x) = -f(x)

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• g(x) = f(x) - 5

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• g(x)= 1/3f(x)

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• g(x) = f(x) + 5

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What is the range of the function?

• [-7, infinity)

• (7, infinity)

• [0, -infinity)

• [3, infinity)

Parent function, f(x) = x². Write the equation that would produce the transformed function, h(x), when the parent function is translated three units left, vertically compressed with a scale factor of one-third, and vertically translated down one unit.

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The parent function of a graph, f(x), is the square root of x. Which function below represents f(x) undergoing a horizontal stretch with a scale factor of three and a vertical translation up two units.

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What is the value of f(0)?

• -2

• 4

• 0

• -6

Which color line could represent the parent function, f(x), being vertically translated two units down and horizontally translated four units left?

• Red

• Black

• Pink

• Green