use transformations of the cube root function, ( f(x)=sqrt3{x} ), to graph the function ( g(x)=sqrt3{x}+3…

use transformations of the cube root function, ( f(x)=sqrt3{x} ), to graph the function ( g(x)=sqrt3{x}+3 ).\nwhat transformation is needed to graph the function ( g(x)=sqrt3{x}+3 )? choose the correct answer below.\na. the graph of ( f(x)=sqrt3{x} ) should be shifted 3 units to the right.\nb. the graph of ( f(x)=sqrt3{x} ) should be shifted 3 units to the left.\nc. the graph of ( f(x)=sqrt3{x} ) should be shifted 3 units down.\nd. the graph of ( f(x)=sqrt3{x} ) should be shifted 3 units up.

use transformations of the cube root function, ( f(x)=sqrt3{x} ), to graph the function ( g(x)=sqrt3{x}+3 ).\nwhat transformation is needed to graph the function ( g(x)=sqrt3{x}+3 )? choose the correct answer below.\na. the graph of ( f(x)=sqrt3{x} ) should be shifted 3 units to the right.\nb. the graph of ( f(x)=sqrt3{x} ) should be shifted 3 units to the left.\nc. the graph of ( f(x)=sqrt3{x} ) should be shifted 3 units down.\nd. the graph of ( f(x)=sqrt3{x} ) should be shifted 3 units up.

Answer

Answer:

D. The graph of ( f(x)=\sqrt[3]{x} ) should be shifted 3 units up.

Explanation:

Step1: Recall vertical shift rule

For a function ( y = f(x)+k ), if ( k>0 ), the graph of ( y = f(x) ) is shifted ( k ) units up.

Step2: Analyze ( g(x)=\sqrt[3]{x}+3 )

Here ( f(x)=\sqrt[3]{x} ) and ( k = 3>0 ). So the graph of ( f(x)=\sqrt[3]{x} ) is shifted 3 units up to get the graph of ( g(x)=\sqrt[3]{x}+3 ).