Question

Sa  se determine f:R⇒R, f(x) = ax(la a doua)+ bx+c. (a diferit de 0) daca a =1,si V(3,1)-varful parabolei .
Ajutor ,urgent !!! va rog :*

Answer 1

a=1
-b/2a=3⇒-b=3*2a⇒-b=3*2⇒b=-6
f(3)=1⇒9a+3b+c=1⇒c=1-9a-3b⇒c=1-9+18⇒c=10
⇒f(x)=x²-6x+10

Answer 2

V(-b supra 2a si - delta supra 4a) deci -b supra 4a= -b supra2 = 3=> b=-6 -delta supra4 a= 1=> - delta supra 4=1=> delta =4 cum delta e b patrat -4ac=> 36-4c=4 => c=8