Question

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

Answer 1

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

given the pattern function f(x)

$y=\sqrt[3]{x}$

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

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

so, the answer is

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

I hope this helps you