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Function Transformations

Test your knowledge of function transformations based on common parent functions.

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8 questions
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Trista Plante
Trista Plante
Published October 5, 2026

Quiz Questions & Answers

Review every prompt, the correct responses, and helpful context to prep for your own run-through.

Question 1: For a Quadratic parent function, which transformation involves a 'Vertical Shrink of -1/3' and a 'Reflection over x-axis' both specified as 'Outside Parentheses'?

Right 4, Up 6

Left 8, Vertical Shrink of -1/3, Reflection over x-axis

Left 2, Reflected over x axis

Right 7, Vertical Stretch of 2, Up 1

Question 2: According to the provided list, what happens to a Quadratic function when there is a 'Horizontal Shrink of 1/2' and it's noted as 'inside parentheses - remember backwards from your intuition'?

Right 1, Horizontal Shrink of 1/2, Up 5

Left 5, Reflection over y axis, Up 3

Left 8, Vertical Shrink of -1/3, Reflection over x-axis

Right 7, Vertical Stretch of 2, Up 1

Question 3: For a Square Root parent function, which transformations result in a 'Horizontal Stretch of factor of 2' and is noted as 'inside parentheses - remember backwards from your intuition'?

Right 1, Vertical Stretch of 3, Up 4

Vertical Shrink by factor of ½, Reflection over x axis, Up 7

Left 3, Reflection over Y Axis, Up 1

Left 4, Horizontal Stretch of factor of 2, Up 6

Question 4: When transforming a Cube Root parent function, what set of actions includes a 'Reflection over x axis' and a 'Down 3' shift?

Left 5, Reflection over x axis, Down 3

Left 3, Reflection over Y Axis, Up 1

Vertical Shrink by factor of ½, Reflection over x axis, Up 7

Right 1, Vertical Stretch of 3, Up 4

Question 5: For a Cubic parent function, which transformation involves a 'Horizontal Shrink of factor of 1/3' and is noted as 'inside parentheses - remember backwards from your intuition'?

Left 9, Reflection over x axis, Down 1

Right 1, Horizontal Shrink of factor of 1/3, Up 2

Right 5, Vertical Stretch of 4, Down 6

Right 6, Vertical Shrink of 1/5, Up 4

Question 6: What transformations are applied to an Absolute Value parent function when there is a 'Reflection over y axis' noted as 'negative inside Ab Value'?

Vertical Shrink by Factor of 1/2, Reflection over x axis, Up 3

Left 1, Vertical Stretch of factor of 3, Up 2

Right 4, Reflection over y axis, Down 1

Left 3, Reflection over x axis, Down 7

Question 7: Which set of transformations for an Absolute Value parent function results in a 'Vertical Shrink by Factor of 1/2' and a 'Reflection over x axis (negative on outside of ab value)'?

Left 3, Reflection over x axis, Down 7

Vertical Shrink by Factor of 1/2, Reflection over x axis, Up 3

Right 2, Up 2

Right 4, Reflection over y axis, Down 1

Question 8: For a Reciprocal parent function, what transformations are applied that result in a 'Domain: x can not equal -2'?

Left 2, Down 6

Right 4, Up 3

Right 5, Up 1

Left 7, Down 3