Posted by Peter on .
Find two quadratic functions, one that opens upward and one that opens downward, whose graphs have the given xintercepts.
(3, 0), (1/2, 0)

Math 
MathMate,
Quadratic functions that have given xintercepts x1 and x2 are given by the equation:
y=a(xx1)(xx2)
If a>0, the curve opens upwards, and if a<0, the curve opens downwards.
a can be any value ≠0 depending on the location of the vertex or any other point on the curve.