Homework Help: Math

Posted by Abbey on Sunday, March 21, 2010 at 8:18pm.

Find the quadratic function that has the indicated vertex and whose graph passes through the given point.

Vertex: (2,3) Point: (0,2)

I do not know how to do this! Please explain!! Thank You

Math - Reiny, Sunday, March 21, 2010 at 8:23pm
Write it in vertex form

y = a(x-2)^2 + 3, the only thing we don't know is the a value
sub in the given point
2 = a(-2)^2 + 3
-1 = 4a
a = -1/4

so
y = (-1/4)(x-2)^2 + 3

expand it if you need it in general form

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