a) Δ = 25 - 16 = 9
[tex]\sqrt\\[/tex]Δ = 3
x1 = [tex]\frac{-5+3}{2} = -1[/tex]
x2 = [tex]\frac{-5-3}{2} = -4[/tex]
y = a(x-x1)(x-x2)
y = (x+1)(x+4)
b) Δ = 100 - 100 = 0
x = [tex]\frac{10}{2} = 5[/tex]
y = [tex]a(x-x0)^{2}[/tex]
y = [tex](x - 5)^{2}[/tex]
c) Δ = 16 + 48 = 64
[tex]\sqrt[/tex]Δ = 8
x1 = [tex]\frac{4+8}{-4} = -3[/tex]
x2 = [tex]\frac{4-8}{-4} = 1[/tex]
y = a(x-x1)(x-x2)
y = -2(x+3)(x-1)