Select the correct answer. Consider function f. f(x) = √(x - 1) Which graph represents function f? A. W B. X C. Y D. Z

Question

Select the correct answer.

Consider function f.

`f(x) = √(x - 1)`


Which graph represents function f?
A. W

B. X

C. Y

D. Z

Answer 1

Answer: Graph Y

Step-by-step explanation:

The parent function
`y = √(x)` is always increasing and it has the left-most endpoint at (0,0). Replacing every x with x-1 will move that point one unit to the right to end up at (1,0)

So going from
`y = √(x)` to
`y = √(x-1)` shifts the entire curve 1 unit to the right. What results is shown in graph Y.