Question

the graphic of a quadratic function y=f(x) has the maximum at point (3,4). if f(5)=-4, then f(x)=?

Answer 1

suppose f(x)=ax^2+bx+c
a<0

now
f(3)=4
f'(3)=0
f(5)=-4
put them and solve the system of equation

Answer 2

i cant understand??

Answer 3

you know derivation ?

Answer 4

if not
use this
\[f(x)=a(x-b)^2 +c\]

Answer 5

if i substitute x in the equation tere will be 3 unknowns a b and c??

Answer 6

you know derivation ?