Respuesta :

fieryanswererft

Answer:

y = -4(x +2)² + 7

formula for parabola: y = a(x-h)² + k

Where (h, k) denotes the vertex

  • vertex: (-2, 7)
  • point: (-1, 3)

First find a:

  • 3 = a(-1-(-2))² + 7
  • a + 7 = 3
  • a = -4

Thus equation:

  • y = -4(x-(-2))² + 7
  • y = -4(x +2)² + 7
Ver imagen fieryanswererft

Answer:

y = -4x^2 - 16x - 9.

Step-by-step explanation:

The vertex form is:

y = a(x - b)^2 + c     where a is a constant,  and (b, c) is the vertex

So we have

y = a(x + 2)^2 + 7

When x = -1,  y = 3 so:

3 = a(-1 + 2)^2 + 7

3 = a + 7

a = -4.

So the equation is

y = -4(x + 2)^2 + 7

y = -4x^2 - 16x -16 + 7

y = -4x^2 - 16x - 9.

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