Write a function based on the given parent function and the transformations in the given order.
Parent function y=∛x
Shift 9 units to the left.
Shift horizontally by a factor of 5.
Reflect across the x-axis.

Given the function

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

A shift 9 units to the left will result in the function:

[tex]y'= \sqrt[3]{x+9} [/tex]

A Shrink horizontally by a factor of 5 will result in the function:

[tex]y''=\sqrt[3]{5(x+9)}[/tex]

A reflection across the x-axis will result in the function

[tex]y'''=-\sqrt[3]{5(x+9)}[/tex]

Therefore, the final function after the series of transformation is

[tex]y'''=-\sqrt[3]{5(x+9)}[/tex]

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Write a function based on the given parent function and the transformations in the given order. Parent function y=∛x Shift 9 units to the left. Shift horizontally by a factor of 5. Reflect across the x-axis.

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Write a function based on the given parent function and the transformations in the given order.
Parent function y=∛x
Shift 9 units to the left.
Shift horizontally by a factor of 5.
Reflect across the x-axis.