Which equation represents y = x^2 − 8x + 5 in vertex form? a) y = (x − 4)^2 − 9 b) y = (x − 4)^2 + 11 c) y = (x − 4)^2 + 21 d) y = (x − 4)^2 − 11

D

Step-by-step explanation:

   y = x² - 8x + 5

  -5                -5

y - 5 = x² - 8x           complete the square by adding 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

step-by-step explanation: