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The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x − 4)3 − 7. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

(4, −7)
(−4, −7)
(4, 7)
(−4, 7)

Respuesta :

Using translation concepts, it is found that the point (0, 0) on the graph of f(x) corresponds to point (4,-7) on g(x).

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.

Considering the translations, the equivalent point is found as follows:

  • x - 4 = 0 -> x = 4.
  • y = 0 - 7 -> y = -7.

Hence the point (0, 0) on the graph of f(x) corresponds to point (4,-7) on g(x).

More can be learned about translation concepts at https://brainly.com/question/4521517

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