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1. Write a quadratic function in intercept form whose graph has the given xintercepts and passes through the given point.
xintercepts: 2,3
point: (4,2)
2. Write a quadratic function in standard form whose graph passes through the given points.
(1,2),(2,1),(3,6)

Math 
Reiny,
first one is easy,
you know that x2 and x3 must be factors of the quadratic.
let the equation be
y = a(x2)(x3)
sub in (4,2) to solve for a, and you are done
the second takes a bit more work.
let the equation be
y = ax^2 + bx + c
now take each point and sub into that, giving you 3 equation in 3 unknowns.
first one:
2 = a + b + c
take it from there.