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The graph of f(x) = 3√x is shown with g(x). Whichequation represents the graph of g(x)?O g(x)=3√x-2O g(x)=3√x+2g(x) = 3√x + 1g(x) = 3√x-1

The Graph Of Fx 3x Is Shown With Gx Whichequation Represents The Graph Of GxO Gx3x2O Gx3x2gx 3x 1gx 3x1 class=

Sagot :

[tex]g(x)=\sqrt[3]{x+2}[/tex]Explanation

given the pattern function f(x)

[tex]y=\sqrt[3]{x}[/tex]

Step 1

now, let's check the functiona obtained after a transformation , it is g(x)

we can see that g(x) is 2 units to the left of f(x)

it measn f(x) was shifted 2 units to left to obtain g(X)

now, shift a function left, add inside the function's argument: f(x + b) shifts f(x) b units to the left. Shifting to the right works the same way, f(x - b) shifts f(x) b units to the right

so, for this case, we have to add 2 units

hence,the answer is

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

so, the answer is

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

I hope this helps you

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