Respuesta :

mhanifa

Answer:

  • y = (x + 3)(x - 1) or y = x² + 2x - 3

Step-by-step explanation:

Quadratic equation:

  • y = a(x - p)(x - q), where a - constant, p and q - x-intercepts.

Substitute p and q:

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

Find the value of a, using the y-intercept:

  • - 3 = a(0 + 3)(0 - 1)
  • - 3 = a*3*(-1)
  • -3 = - 3a
  • a = 1

The equation is:

  • y = (x + 3)(x - 1)

or

  • y = x² + 2x - 3