Respuesta :

Jaebhad

Answer(s):  

y = 2(x - 1)2 + 3

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

y = 2x2 - 4x + 2 + 3

y = 2x2 - 4x + 5

mhanifa

Answer:

  • y = -3/4(x + 2)² + 6

Step-by-step explanation:

Vertex form of quadratic function:

  • y = a(x - h)² + k

Given a graph with:

  • Vertex = (-2, 6)
  • Points: (-6, -6), (2, -6)

We can see that:

  • h = -2 and k = 6, a is negative (parabola opens down)

The equation becomes:

  • y = a(x + 2)² + 6

Substitute coordinates (-6, -6) into the equation to find the value of a:

  • -6 = a(-6 + 2)² + 6
  • -6 = 16a + 6
  • 16a = -12
  • a = -12/16
  • a = -3/4

The function becomes:

  • y = -3/4(x + 2)² + 6

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