Using translation concepts, it is found that the equation of the resulting graph is given by:
[tex]y = \sqrt[3]{x + 4} - 5[/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.
In this problem, the changes are given as follows:
- Shift down of 5 units, hence y -> y - 5.
- Shift left of 4 units, hence x -> x + 4.
Hence the equation of the resulting graph is given by:
[tex]y = \sqrt[3]{x + 4} - 5[/tex]
More can be learned about translation concepts at https://brainly.com/question/4521517
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