Transformation of Functions Notation

Compared to the parent function, f(x) = x², which of the following is the equation of the function after a vertical stretch by a factor of 3?

• A

• B

• C

• D

Compared to the parent function, f(x) = x², which of the following is the equation of the function after a horizontal shift to the right 7?

• A

• B

• C

• D

Which of the following represents horizontal stretches and compressions?

• f(x)+d

• f(x-c)

• f(bx)

• af(x)

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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Tags

CCSS.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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What best describes the transformation shown in t(x)?

• Vertical Stretch with k = 5

• Vertical Compression with k = (1/5)

• Horizontal Compression with k = (1/5)

• Horizontal Stretch with k = 5

Tags

CCSS.HSF.BF.B.3

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

What are the transformations of this functions compared to the parent function?

• Translated right 5, translated down 2, and reflected over the x-axis

• Reflected over the x-axis, vertical stretch by a factor of 2, and translated right 5

• Reflected over the x-axis, vertical stretch by a factor of 2, and translated left 5

• Translated right 5, translated down 2

Tags

CCSS.HSF.BF.B.3

Describe the transformation.

• Translated down 1

• Reflect over y-axis

• Translated up 1

• Reflect over x-axis

Tags

CCSS.HSF.BF.B.3