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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-example-1
User Iqbal Jan
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1 Answer

4 votes

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.

User Ask About Monica
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