Final answer:
The given function f(x)=-2(x-3)^2+7 is already in the standard form of a quadratic function, represented by f(x) = a(x-h)^2 + k. The vertex of the parabola formed by this function is (3, 7) and as 'a' is negative, the parabola opens downwards.
Step-by-step explanation:
The function f(x)=-2(x-3)^2+7 is already in the standard form of a quadratic function. The standard form of a quadratic function is f(x) = a(x-h)^2 + k, where (h, k) is the vertex of the parabola formed by the function. Here, a = -2, h = 3, and k = 7. Therefore, the vertex of this parabola is (3, 7). As 'a' is negative, the parabola opens downwards.
Learn more about Standard Form of a Quadratic Function