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Use the graph of a translated function below to answer this question

Given the parent function of f(x) = x3, what is the value of k in the translated graph of f(x - h) + k?

k = -3

k = -2

k = 2

k = 3

Use the graph of a translated function below to answer this question Given the parent function of f(x) = x3, what is the value of k in the translated graph of f class=

Answer :

frika

The graph of the function [tex]y=x^3[/tex] has the point of inflection at the origin. From the diagram you can the that the graph [tex]y=f(x - h) + k[/tex] has the point of inflection at point (-2,-3). So you should translate the graph of the function [tex]y=x^3[/tex] 2 units to the left and 3 units down. This translation is acting on function  [tex]y=f(x)[/tex] in the following way:

  • translation 2 units to the left - [tex]y=f(x+2);[/tex]
  • translation 3 units down - [tex]y=f(x+2)-3.[/tex]

Then h=-2 and k=-3.

Answer: correct choice is A.

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