Answer:
Option C = [tex]y = \sqrt{2x-6} + 1[/tex]
Step-by-step explanation:
As you can see from the graph, one of the points lying on the graph is (3,1).
Inserting this point in above all equations, we get,
1] [tex]y = \sqrt{2(3)-6} - 1[/tex] = -1 , which is not equal to 1.
2] [tex]y = \sqrt{2(3)+6} + 1[/tex] = 4.464 , which is not equal to 1.
3] [tex]y = \sqrt{2(3)-6} + 1[/tex] = 1 , which is equal to 1.
4] [tex]y = \sqrt{2(3)+6} - 1[/tex] = 2.464 , which is not equal to 1.
Thus, only option 3 satisfies the point.
One can also check for other points.
