Answer:
g(x) = [tex]2(\sqrt[3]{x})[/tex]
Step-by-step explanation:
Parent function given in the graph attached is,
f(x) = [tex]\sqrt[3]{x}[/tex]
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) = [tex]k(\sqrt[3]{x})[/tex]
Since, the given function passes through (1, 2)
g(1) = [tex]k(\sqrt[3]{1})[/tex] = 2
⇒ k = 2
Therefore, image of the function 'f' will be,
g(x) = [tex]2(\sqrt[3]{x})[/tex]
