use transformations of ( f(x)=sqrt{x} ) to graph the following function.\n( g(x)=sqrt{x}-4 )\nwhat…

use transformations of ( f(x)=sqrt{x} ) to graph the following function.\n( g(x)=sqrt{x}-4 )\nwhat transformation is needed to graph the function ( g(x)=sqrt{x}-4 )? choose the correct answer below.\na. the graph of ( f(x)=sqrt{x} ) should be shifted 4 units to the right.\nb. the graph of ( f(x)=sqrt{x} ) should be shifted 4 units down.\nc. the graph of ( f(x)=sqrt{x} ) should be shifted 4 units up.\nd. the graph of ( f(x)=sqrt{x} ) should be shifted 4 units to the left.

use transformations of ( f(x)=sqrt{x} ) to graph the following function.\n( g(x)=sqrt{x}-4 )\nwhat transformation is needed to graph the function ( g(x)=sqrt{x}-4 )? choose the correct answer below.\na. the graph of ( f(x)=sqrt{x} ) should be shifted 4 units to the right.\nb. the graph of ( f(x)=sqrt{x} ) should be shifted 4 units down.\nc. the graph of ( f(x)=sqrt{x} ) should be shifted 4 units up.\nd. the graph of ( f(x)=sqrt{x} ) should be shifted 4 units to the left.

Answer

Brief Explanations:

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

In the function (g(x)=\sqrt{x}-4), we have (f(x)=\sqrt{x}) and (k=- 4).

Answer:

B. The graph of (f(x)=\sqrt{x}) should be shifted 4 units down.