Question

The axis of symmetry for the graph of the function f(x) =
-x2 + bx + 10 is x=6. What is the value of b?
--3
Ο Ο Ο Ο

Answer 1

Answer:

12

Step-by-step explanation:

$y = - x {}^{2} + bx + 10 \\ y = - (x {}^{2} - bx - 10) \\ y = -( (x - \frac{b}{2} ) {}^{2} - \frac{b {}^{2} }{4} - 10) \\ y = - (x - \frac{b}{2} ) {}^{2} + 10 + \frac{b {}^{2} }{4} \\ \\ therefore \: \frac{b}{2} = 6 \\ b = 12$