Respuesta :

Answer:

  • y = -2x² - 8x - 6

Step-by-step explanation:

The equation in the vertex form is:

  • y = a(x -h)² + k

(h, k) is coordinates of the vertex and is given as (-2, 2)

  • (h, k) = (-2, 2)
  • y= a(x + 2)² + 2

Using the point (-1, 0), we find the value of a;

  • 0 = a(-1 + 2)² + 2
  • a = -2

So the function is:

  • y = -2(x + 2)² + 2

And in standard form:

  • y = -2x² - 8x - 8 + 2
  • y = -2x² - 8x - 6