Respuesta :

The transformation that occurred to the parent cube root function could be translation, dilation, reflection or rotation

What are function transformations?

When a function is transformed, it means that any of the following operations has been carried out on the function

  • Translation
  • Dilation
  • Reflection
  • Rotation

The parent cube root function is represented as:

[tex]y = \sqrt[3]{x}[/tex]

When the function is translated (say 3 units right), the new function would be:

[tex]y = \sqrt[3]{x - 3}[/tex]

When the function is dilated (say by a scale factor of 2), the new function would be:

[tex]y = 2\sqrt[3]{x }[/tex]

When the function is reflected (say across the y-axis), the new function would be:

[tex]y = -\sqrt[3]{x}[/tex]

When the function is rotated (say 90 degrees clockwise rotation), the new function would be:

[tex]y = \sqrt[3]{-x}[/tex]

Read more about function transformation at:

https://brainly.com/question/1548871