Transformation Functions Algebra

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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• F
• G
• H
• J

If the blue line is f(x), what does the red dotted line represent?

• f(x+1)

• f(x-1)

• f(x)+1

• f(x)-1

• F
• G
• H
• J

• F

• G

• H

• J

• A

• B

• C

• D

If the blue line is f(x), what does the red dotted line represent?

• f(x+1)

• f(x-1)

• f(x)+1

• f(x)-1

Let f be the parent absolute value function f(x) = |x|. Match each function below with its transformation of f.

• Vertical translation

• Vertical stretch

• Horizontal translation

• Horizontal stretch