Final answer:
The vertex form of the quadratic equation is f(x) = -(x + 1)^2 + 4.
Step-by-step explanation:
The vertex form of a quadratic equation is given by f(x) = a(x-h)^2 + k, where (h, k) represents the vertex of the parabola.
Given that f(x) = -x^2 - 2x + 3, we can rewrite it in vertex form as follows:
f(x) = -(x + 1)^2 + 4
Therefore, the vertex form of the given quadratic equation is f(x) = -(x + 1)^2 + 4.