The graph of the function has the point of inflection at the origin. From the diagram you can the that the graph has the point of inflection at point (-2,-3). So you should translate the graph of the function 2 units to the left and 3 units down. This translation is acting on function in the following way:
"k= -3" is the value among the choices given in the question that <span>is the value of k in the translated graph of f(x - h) + k. The correct option among all the options that are given in the question is the first option. I hope that this is the answer that you were looking for and it has actually come to your great help.</span>