Determine the equation in factored form for a quadratic function with x intercepts -2+√5 and -2-√5 containing the point (-4,5)

Answer 1

x=-2-sqr5

x+2=sqr5

x^2+4x+4=5

x^2+4x-1=0

y=a(x^2+4x-1)

5=a(16-16-1)

a=-5

f(x)=-5x^2-20x+5

or

f(x)=-5(x-2-sqr5)(x+2+sqr5)