Respuesta :

mhanifa

Answer:

  • f(x) = - (x + 3)² + 12

Step-by-step explanation:

The vertex form:

  • f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola and a-  the leading coefficient

We have on the graph:

  • (h, k) = (-3, 12)

Substitute into equation:

  • f(x) = a(x - (-3))² + 12 = a(x + 3)² + 12

Use the point (0, 3) to find the value of a:

  • 3 = a(0 + 3)² + 12
  • 3 = 9a + 12
  • 9a = 3 - 12
  • 9a = - 9
  • a = -1

So the function is:

  • f(x) = - (x + 3)² + 12