Question

The graph of g(x) is a reflection and translation of f (x) = RootIndex 3 StartRoot x EndRoot.

Answer 1

Answer:

  -∛(x-1)

Step-by-step explanation:

The point of inflection at (1, 0) means the graph has been translated 1 unit to the right. The point (2, -1) on the curve means it has been reflected across the x-axis.

Those conditions are met by ...

  g(x) = -∛(x -1)

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Translation "h" units to the right is accomplished by replacing x with (x-h) in a function definition. Reflection across the x-axis is accomplished by negating the output of the function. That is, ∛x has been transformed to -∛(x-1).