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mestny [16]
3 years ago
9

The function g(x) is a transformation of the cube root parent function,

Mathematics
1 answer:
asambeis [7]3 years ago
6 0

Answer:

g(x) = 2(\sqrt[3]{x})

Step-by-step explanation:

Parent function given in the graph attached is,

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

Function 'f' passes through a point (1, 1).

If the parent function is stretched vertically by 'k' unit,

Transformed function will be,

g(x) = k.f(x)

Therefore, the image of the parent function will be,

g(x) = k(\sqrt[3]{x})

Since, the given function passes through (1, 2)

g(1) = k(\sqrt[3]{1}) = 2

⇒ k = 2

Therefore, image of the function 'f' will be,

g(x) = 2(\sqrt[3]{x})

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