polynomial equation with intercepts
(-3/2,0)
(1,0)
(5/2,0)
(0,4/3)
Since the x-intercepts are the roots,
y = k(x+3/2)(x-1)(x-5/2)
y(0) = 4/3 = k(3/2)(-1)(-5/2) = 15/4 k
k = 16/45
so,
y = 16/45 (x+3/2)(x-1)(x-5/2)
you can expand that out if you wish