Answered

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The function g(x) is a transformation of the cube root parent function,
f(x) = y. What function is g(x)?
5
g(x)
f(x)
5
-5
A. g(x) = 1 va
B. g(x) = a + 2
C. g(x) = 27

The Function Gx Is A Transformation Of The Cube Root Parent Function Fx Y What Function Is Gx 5 Gx Fx 5 5 A Gx 1 Va B Gx A 2 C Gx 27 class=

Sagot :

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]

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