Question

Find constants a and b so that the minimum for the parabola f(x)=x^2+ax+b is at the point (6,7)

Answer 1

I thought the derivative equals 2x+a

Answer 2

?

Answer 3

I did it right in the last equation.

Answer 4

\[f'(x)= 2 x +a\\
f(6) = 6^2 + 6 a + b =7\\
f'(6)= 2(6) + a =0\\
\]
You find a =12 and b=43

Answer 5

ok ill try it thank u

Answer 6

it says b was 43 but a wasnt twelve. Do you know what could have been wrong?

Answer 7

??

Answer 8

a=-12

b=43

Answer 9

ughh thanks hah ah i posted a new one very similar cuz it made me start with new values