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The function g(x)=x³−4 has been transformed from the parent function f(x)=x³ in what way?

User Pajton
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Final answer:

The function g(x) has been transformed from the parent function f(x) by a downward vertical translation of 4 units.

Step-by-step explanation:

The function g(x) = x³ - 4 has been transformed from the parent function f(x) = x³ by a vertical translation. This is a type of transformation where the graph of the function is moved up or down without changing its shape. In this case, the graph has been shifted downward by 4 units. To visualize this transformation, one could take the graph of the parent function and simply move it down along the y-axis by 4 units to get the graph of g(x).

User Thomas Cayne
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