Answer:
- If the function is [tex]y=\sqrt{x}-4[/tex]: THIRD OPTION.
- If the function is [tex]y=\sqrt{x-4}[/tex]: FIRST OPTION.
Step-by-step explanation:
There are some transformations for a function f(x):
If [tex]f(x)+k[/tex], then the function is shifted up "k" units.
If [tex]f(x)-k[/tex], then the function is shifted down "k" units.
If [tex]f(x+k)[/tex], then the function is shifted left "k" units.
If [tex]f(x-k)[/tex], then the function is shifted right "k" units.
Based on this:
- If the function is [tex]y=\sqrt{x}-4[/tex]:
You need to shift the graph of the parent function [tex]y=\sqrt{x}[/tex] 4 units down to obtain the graph of [tex]y=\sqrt{x}-4[/tex]
- If the function is [tex]y=\sqrt{x-4}[/tex]:
You need to shift the graph of the function [tex]y=\sqrt{x}[/tex] 4 units to the right to obtain the graph of [tex]y=\sqrt{x-4}[/tex]
