a)
a= 1 b = -4 c= 5
p= 4/2=2
q=4/4 = 1
delta= b^2-4ac= 16 - 20=-4
f(x)=(x-p)^2 +q = ( x+2)^2 +1
b)
a= -1 b = 6 c =-3
p= -6/-2 = -3
q=-24/-1=24
delta = 36- 12= 24
f(x) = -(x+3)^2 +24
c)
a= -1 b= 1 c=0
p= -1/-2 = - 1/2
q= -1/-4 =-1/4
delta= 1 +0 = 1
f(x) = -(x+1/2)^2 - 1/4
d)
a=3 b= -6 c= 1 Ważne wzory p= -b/2a g= - delta /4a i delta to b^2 -4ac
p= 6/6 =1
q=-24/ 12 = -2
delta = b^2 - 4ac = 36 - 12 =24
f(x) =3(x-1)^2 -2
