consider the function ( f(x)=e^{x} ) and the function ( g(x) ), which is shown below. how will the graph of…

consider the function ( f(x)=e^{x} ) and the function ( g(x) ), which is shown below. how will the graph of ( g(x) ) differ from the graph of ( f(x) )?\n( g(x)=f(x)+2=e^{x}+2 )\noa. the graph of ( g(x) ) is the graph of ( f(x) ) shifted down 2 units.\nob. the graph of ( g(x) ) is the graph of ( f(x) ) shifted 2 units to the left.\noc. the graph of ( g(x) ) is the graph of ( f(x) ) shifted 2 units to the right.\nod. the graph of ( g(x) ) is the graph of ( f(x) ) shifted up 2 units.

consider the function ( f(x)=e^{x} ) and the function ( g(x) ), which is shown below. how will the graph of ( g(x) ) differ from the graph of ( f(x) )?\n( g(x)=f(x)+2=e^{x}+2 )\noa. the graph of ( g(x) ) is the graph of ( f(x) ) shifted down 2 units.\nob. the graph of ( g(x) ) is the graph of ( f(x) ) shifted 2 units to the left.\noc. the graph of ( g(x) ) is the graph of ( f(x) ) shifted 2 units to the right.\nod. the graph of ( g(x) ) is the graph of ( f(x) ) shifted up 2 units.

Answer

Brief Explanations:

For a function (y = f(x)+k), when (k>0), the graph of (y = f(x)) is shifted up by (k) units. In the given functions (f(x)=e^{x}) and (g(x)=e^{x}+2), here (k = 2>0).

Answer:

D. The graph of (g(x)) is the graph of (f(x)) shifted up 2 units.