Respuesta :

Answer:

v(x) = (2x+8)(-2x+-2)

Step-by-step explanation:

Graph the equation and the functions will be the same.

Answer:

  • See below

Step-by-step explanation:

We can observe that:

  • The x- intercepts are - 4 and  - 1
  • The y- intercept is - 16
  • Graph opens down, the leading coefficient is negative

According to observations, the function is:

  • f(x) = a(x - (-4))(x - (-1)) = a(x + 4)(x + 1)

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

  • - 16 = a(0 + 4)(0 + 1)
  • - 16 = 4a
  • a = -16/4
  • a = - 4

The function is:

  • f(x) = - 4(x + 4)(x + 1)

In standard form it is:

  • f(x) = - 4(x² + 5x + 4) = - 4x² - 20x - 16