Determine an equation in simplified form, for the family of quadratic functions with zeros -1 -+ √5 and 2 -+ √2

Question

B) determine an equation for the member of the family whose graph has a y intercept of -32

Answer 1

y = a(x-(-1+√5))(x-(-1-√5)) = a(x^2+2x-4)
the one passing through (0,-32) is
y = 8(x^2+2x-4)

Similarly for the other root pair.