SOLUTION: Find b and c so that y=17x^2+bx+c has vertex (-9,6) b= c=

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Question 1182614: Find b and c so that y=17x^2+bx+c has vertex (-9,6)
b=
c=
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Given a quadratic function y=ax^2+bx+c, the x coordinate of the vertex is -b/2a.

-9=-b%2F%282%2A17%29
-b=-9%282%2A17%29
b=306

The function value at the vertex is 6:

17%28-9%29%5E2%2B306%28-9%29%2Bc=6
-1377%2Bc=6
c=1383

ANSWERS:
b=306
c=1383

A graph, showing the vertex at (-9,6)...

graph%28400%2C400%2C-12%2C2%2C-5%2C15%2C17x%5E2%2B306x%2B1383%29