a>0
Δ<0

a>0
Δ=0

a>0
Δ>0

a<0
Δ>0

a<0
Δ=0

a<0
Δ<0

a(x) = (x + 8)^(2) + 2
b(x) = (x + 5)^(2)
c(x) = (x + 2)^(2) - 1
d(x) = (-((x - 2)^(2) - 1))
e(x) = (-(x - 5)^(2))
f(x) = (-((x - 8)^(2) + 2))