Question

Which function is shown on the graph below?

Answer 1

Option C =
`y = √(2x-6) + 1`

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 = √(2(3)-6) - 1` = -1 , which is not equal to 1.

2]
`y = √(2(3)+6) + 1` = 4.464 , which is not equal to 1.

3]
`y = √(2(3)-6) + 1` = 1 , which is equal to 1.

4]
`y = √(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.