SOLUTION: For the function, the vertex of the graph is given. Find the unknown coefficients. y=x^2+bx+c; (4, 9)

Algebra ->  Functions -> SOLUTION: For the function, the vertex of the graph is given. Find the unknown coefficients. y=x^2+bx+c; (4, 9)       Log On


   

Question 888530: For the function, the vertex of the graph is given. Find the unknown coefficients.
y=x^2+bx+c; (4, 9)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Convert to vertex form,
y=x%5E2%2Bbx%2Bc
y=%28x%5E2%2Bbx%2Bb%5E2%2F4%29%2Bc-b%5E2%2F4
y=%28x%2Bb%2F2%29%5E2%2B%28c-b%5E2%2F4%29
.
.
.
-b%2F2=4
b=-8
.
.
.
c-b%5E2%2F4=9
c-64%2F4=9
c-16=9
c=25