Question

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

Answer 1

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