Respuesta :

answer: D) y=(x-4)^2-11

by completing the square:
y=x^2-8x+5
y=x^2-8x+16+5-16
y=(x-4)^2-11

where did we get 16?
(-8/2)^2=16
tramserran

Answer: D

Step-by-step explanation:

   y = x² - 8x + 5

  -5                -5

y - 5 = x² - 8x           complete the square by adding [tex](\frac{-8}{2})^{2}[/tex] to both sides

y - 5 + 16 =  x² - 8x + 16      the right side is a perfect square:  (x - 4)²

y + 11 = (x - 4)²

    -11            -11

y        = (x - 4)² - 11

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