SOLUTION: Find b and c so that the parabola y=13x^2+bx+c has vertex (6,3) .

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Question 402012: Find b and c so that the parabola y=13x^2+bx+c has vertex (6,3) .

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
k++=+3+=+%284ac+-+b%5E2%29%2F%284a%29+=+%284%2A13%2Ac+-+b%5E2%29%2F52
==> 156+=+52+c+-+b%5E2
h+=+6+=+-b%2F%282a%29+=+-b%2F26
==> 156 = -b ==> b = -156.
==> 156+=+52c+-+%28-156%29%5E2
==> 3 = c - 468
==> c = 471.