Which quadratic equation fits the data in the table?

First option is correct.

Step-by-step explanation:

From the given table, we take three points (0,1), (1,-2) and (2,-3)

Now, let the  quadratic equation is

Use the first point (0,1)

Thus, the equation becomes

Now, use the point (1,-2)

Now, use the point (2,-3)

Subtract (i) and (ii)

a-2a= -3+2

-a = -1

a = 1

Now, substituting this value in (i)

1 + b = -3

b = -3-1

b = -4

Therefore, the quadratic equation is

First option is correct.

x = 3 ± √(5+y)