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Sagot :
Using translation concepts, it is found that the equation is given by:
[tex]y = -3\sqrt[3]{x} - 8[/tex]
What is a translation?
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The parent cube root function is given by:
[tex]y = \sqrt[3]{x}[/tex]
It was reflected across the x-axis, that is, multiplied by -1, hence:
[tex]y = -\sqrt[3]{x}[/tex]
It was vertically stretched by a factor of 3, hence:
[tex]y = -3\sqrt[3]{x}[/tex]
Then, it was translated 8 units down, hence:
[tex]y = -3\sqrt[3]{x} - 8[/tex]
More can be learned about translation concepts at https://brainly.com/question/4521517
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