Question

Write the equation of the quadratic function with roots 0 and 1 and a vertex at (1/2, -2/3)

Answer 1

hello :
f(x) = a(x-1)(x-0)
f(x) = ax(x-1)
find : a
(1/2, -2/3) lie in parabola : -2/3 = a(1/2) (1/2-1)
(1/4)a = 2/3
a = (4)(2)/3 = 8/3
f(x) = (8/3)x(x-1)