Finding Coefficient a in Quadratic Function

A quadratic function is represented by the equation $$f(x) = ax^2 + bx + c$$, where $$a$$, $$b$$, and $$c$$ are constants. It is given that the function has its vertex at the point (2, -3) and passes through the point (0, 1). Based on this information, which of the following is the correct value of the coefficient $$a$$?