Question

For each of the following, write the equations of
three cubic functions that have the given zeros
and belong to the same family of functions.
a) -3, 6, 4

Answer 1

start with \(a(x+3)(x-6)(x-4)\) and vary the \(a\)

Answer 2

what does it mean when it says "belong to the same family of function"? I got the same answer as you, but how do i get 3 different cubic functions? Can we just put any random number for a?

Answer 3

yes

Answer 4

they have to factor the same way, otherwise they will have different zeros