f(v) = 8v(v - 10) is a Quadratic Function in Factored Form.
It's graph is a parabola that opens up b/c a = +8.
It's Zeros are v = 0 and v = 10. These are also it's v-intercepts.
It's Axis of Symmetry is halfway between the Zeros at v = 5.
It's Vertex is (5,f(5)) = (5,8(5)(5-10)) = (5,-200).
It's Vertex Form Equation is f(v) = 8(v - 5)^2 - 200.
It's Standard Form Equation is f(v) = 8v^2 - 80v.