Question

Which function is shown on the graph below?

Answer 1

Answer:

Option C = $y = \sqrt{2x-6} + 1$

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] $y = \sqrt{2(3)-6} - 1$ = -1 , which is not equal to 1.

2] $y = \sqrt{2(3)+6} + 1$ = 4.464 , which is not equal to 1.

3] $y = \sqrt{2(3)-6} + 1$ = 1 , which is equal to 1.

4] $y = \sqrt{2(3)+6} - 1$ = 2.464 , which is not equal to 1.

Thus, only option 3 satisfies the point.

One can also check for other points.