Answer :
Using translation concepts, the equation of y = x³ after the given transformations is given by:
y = 3(x - 4)³ - 3.
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 parent function is given by:
y = x³.
We have that:
- There is a vertical stretch of 3 units, hence the function is multiplied by 3.
- There is a horizontal shift of 4 units to the right, hence x -> x - 4.
- There is a vertical shift of 3 units down, hence 3 is subtracted from the function.
Hence, the equation is given by:
y = 3(x - 4)³ - 3.
More can be learned about translation concepts at https://brainly.com/question/4521517
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