Posted by . on Tuesday, November 24, 2009 at 8:37pm.
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, Tuesday, November 24, 2009 at 8:41pm
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.
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