oopsydaisy
Answered

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=

Verified Answer :

frika

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

  • translation 2 units to the left - \(y=f(x+2);\)
  • translation 3 units down - \(y=f(x+2)-3.\)

Then h=-2 and k=-3.

Answer: correct choice is A.