Question

Write the equation of a quadratic with x-intercepts at (-1,0) and (4,0)

Answer 1

y = x² - 3x - 4

Explanation:

Given that the x- intercepts are x = - 1 and x = 4, then the corresponding factors are

(x + 1) and (x - 4) and the quadratic is the product of the factors, that is

y = (x + 1)(x - 4) ← expand using FOIL

y = x² - 3x - 4