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How can the graph of f(x) = RootIndex 3 StartRoot x EndRoot be transformed to represent the function g(x) = RootIndex 3 StartRoot x EndRoot – 3? Translate the graph of f(x) 3 units. The point is on the graph of g(x).

Sagot :

Answer:

down

(8,-1)

Step-by-step explanation:

trust

The function g(x) is gotten from the function f(x) by a translation to the right  by 3 units

How to determine the transformation?

The equations are given as:

[tex]f(x) = \sqrt[3]{x}[/tex]

[tex]g(x) = \sqrt[3]{x - 3}[/tex]

Notice that 3 is subtracted from the x in the function g(x).

This means that:

g(x) = f(x- 3)

This represents a translation to the right  by 3 units

Hence, the function g(x) is gotten from the function f(x) by a translation to the right  by 3 units

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