There are a few ways to work this one.
The first thing to know is that if (1,0) is an x-intercept, then (x-1) will be a factor in the factored version. So this makes the first answer correct and the second one not:
Yes: y = 3(x-1)(x-3)
No: y = 3(x+1)(x+3)
The second thing to know is that if (h,k) is the vertex, then equation in vertex form will be y = a (x-h)^2 + k.
Since (2,-3) is the vertex, then the equation would be y = a (x-2)^2 -3.
This makes the third answer correct and the fourth not:
Yes: y = 3(x-2)^2 - 3
No: y = 3(x+2)^2 + 3
By default, this means that the last answer must work, since you said there are 3 answers.
We can confirm it is correct (and not a trick question) by factoring the last answer:
y = 3x^2 - 12x +9
= 3 (x^2 -4x +3)
= 3 (x-3)(x-1)
And this matches our first answer.