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What is the equation of y=x3 with the given transformations? Vertical stretch by a factor of 3, horizontal shift 4 units to the right, vertical shift 3 units down

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Respuesta :

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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