Solution:
Given the function:
[tex]y=\sqrt{x-2}-5[/tex]
The graph of the function is shown below:
From the given options, to determine which point lies on the graph, we plot the points on the graph.
This is shown below:
From the above plot, we see that only the point (3, -4) lies on the graph.
Hence, the third option is the correct answer.
