Question

Determine the values of b and c so that (3,4) Is the vertex of the given parabola. y=2x^2+bx+C

Answer 1

vertex x component is given by -b/2a

Answer 2

\[\frac{-b}{2a}=3\]
\[\frac{-b}{2(2)}=3\]
\[\frac{-b}{4}=3\]
\[-b = 12\]
\[b=-12\]

Answer 3

now we just solve C for y=4 and x=3

y = 2x^2 + bx + C

4 = 2(3^2) -12(3) + C ;

Answer 4

thanks !