Question

Create an equation for a cubic function, in standard form, that has x-intercepts

given by the set{-3, 1, 7} and which passes through the point (-2, 54).

Answer 1

y = 2 (x + 3)(x - 1)(x - 7)

Step-by-step explanation:

y = a (x + 3)(x - 1)(x - 7)

54 = a (-2 + 3)(-2 - 1)(-2 - 7)

54 = a (1)(-3)(-9)

54 = 27a

a = 54 / 27

a = 2

y = 2 (x + 3)(x - 1)(x - 7)

see the attached picture