can anyone help me create the equation of the given parabola . is it x^2-x-3?

Answer:
The function of this parabola is is equal to [tex]f(x) = (x-1)^{2} - 4[/tex]
Step-by-step explanation:
If we look at this picture we cans see that the most bottom point of this parabola is located 4 units below and 1 unit tot he right of the origin point. From here we know tha tthe function will lokk something like this....
[tex]f(x) = (x^-1)^{2} + bx - 4[/tex]
But in our case b is equal to zero and so we get that the following parabola is represented by the following function....
[tex]f(x) = (x-1)^{2} - 4\\[/tex]
(If you don't believe me you can check this function on a graphing site called Desmos)