Question

Which is the graph of y = sqrt x-3

Answer 1

Answer: Choice B

The parent function y = sqrt(x) has the point (0,0) on it. When we subtract 3, we get y = sqrt(x)-3 which moves the point (0,0) three units down to get to (0,-3)

So (0,-3) is one point on y = sqrt(x)-3

Answer 2

Answer:

The second option

Step-by-step explanation:

The square root of a function could be smaller than 3, so the function could evaluate to less than 0, but the other 3 don't have any points smaller than 0. Therefore, the only possible option is the 2nd one.

Also, if you try to evaluate it in x = 0, which is sqrt(0)-3 = -3, the only option that satisfies that would be the second one.

I hope this helped.