Question

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

Answer 1

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.