teemanmou7528 teemanmou7528
  • 13-10-2018
  • Mathematics
contestada

Which equation represents y = x^2 + 16x + 70 in vertex form?


y = (x + 8)^2 − 16


y = (x + 8)^2 − 64


y = (x + 8)^2 + 68


y = (x + 8)^2 + 6

Respuesta :

tramserran
tramserran tramserran
  • 13-10-2018

Answer: D

Step-by-step explanation:

  y = x² + 16x + 70

-70                 -70

y - 70 = x² + 16x         next, complete the square by adding [tex](\frac{16}{2})^{2}[/tex] to both sides

y - 70 + 64 = x² + 16x + 64   remember that x² + 16x + 64 is a perfect square of (x - 8)²

y - 6 = (x + 8)²

   +6              +6

y      = (x + 8)² + 6

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