Posted by **Ted** on Monday, November 8, 2010 at 5:07pm.

find the equations of the quadratics given the following information

zeros of 5 and 9

an optimal value of -2

using the formula y=a(x-s)(x-t)

- math -
**Reiny**, Monday, November 8, 2010 at 5:31pm
we can start with

y = a(x-5)(x-9)

the vertex , where the function has an optimal value of -2, must be midway between the zeros , that is,

when the x = 7

so (7,-2) is the vertex, let's sub that into our equation

-2 = a((7-5)(7-9)

-2 = a(-4)

a = 1/2

equation: y = (1/2)(x-5)(x-9)

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