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A quadratic function has a vertex at the point (-4, 2)and passes through the point (-8,-6)

Respuesta :

mhanifa

Answer:

  • y = -1/2(x + 4)² + 2 or y = -1/2x²- 4x - 6

Step-by-step explanation:

Given

  • Vertex = (-4, 2)
  • The graph passes through the point (-8, -6)

The function in vertex form is:

  • y = a(x + 4)² + 2

Substitute the coordinates of (-8, -6) and find the value of a:

  • -6 = a(-8 + 4)² + 2
  • -8 = 16a
  • a = -1/2

The function is:

  • y = -1/2(x + 4)² + 2

or in standard form:

  • y = -1/2(x² + 8x + 16) + 2 = -1/2x²- 4x - 6