First option
The graph is the radical function y=√x shifted right 1 unit and up 4 units.
STEP - BY - STEP EXPLANATION
What to do?
Describe the graph of the function.
Given:
Note the following:
• If ,f(x), shift up m units, then the new formula of the ,function, becomes ,f(x)+m.
,
• If ,f(x), shifts right p-units, then the function becomes ,f(x-p).
Note that; from the given function, we have x-1, this implies y=√x shifts right 1 unit.
Also, the +4 indicates the function moves up 4 units.
Therefore, the graph is the radical function y=√x shifted right 1 unit and up 4 units.