Respuesta :

mhanifa

Answer:

  • f(x) = - (x - 8)² + 51

Step-by-step explanation:

Assumed it is:

  • f(x) = - x² + 16x - 13

Converting into vertex form:

  • f(x) =
  • - x² + 16x - 13 =
  • - (x² - 16x + 64 - 64) - 13 =
  • - (x - 8)² + 64 - 13 =
  • - (x - 8)² + 51
VirαtKσhli

Given :-

  • x² + 16x -13 [correct]

To Find :-

  • To convert it in vertex form .

Answer :-

We have ,

  • x² + 16x -13
  • x² + 2*8*x -13

Add and subtract 8² .

  • x² + 2*8*x + 8² - 8² -13
  • ( x² + 2*8*x +8²) -64 -13
  • ( x +8)² - 77

Hence the required answer is (x+8)² -77.