What is the vertex form, f(x) = a(x − h)^2 + k, for a parabola that passes through the point (1, −7) and has (2, 3) as its vertex. What is the standard form of the equation?

A) Vertex form: f(x) = 10(x + 4)^2 + 5
Standard form: f(x) = −10x^2 + 40x + 165

B) Vertex form: f(x) = −6(x − 4)^2 + 3
Standard form: f(x) = −6x^2 + 7x − 24

C) Vertex form: f(x) = −10(x − 2)^2 + 3
Standard form: f(x) = −10x^2 + 40x − 37

D) Vertex form: f(x) = −3(x − 2)^2 + 4
Standard form: f(x) = −3x^2 + 12x +16