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Solnce55 [7]
2 years ago
12

F(x)=-2^2+16x-13 In vertex form

Mathematics
2 answers:
Llana [10]2 years ago
7 0

Answer:

  • f(x) = - (x - 8)² + 51

Step-by-step explanation:

<u>Assumed it is:</u>

  • f(x) = - x² + 16x - 13

<u>Converting into vertex form:</u>

  • f(x) =
  • - x² + 16x - 13 =
  • - (x² - 16x + 64 - 64) - 13 =
  • - (x - 8)² + 64 - 13 =
  • - (x - 8)² + 51
Romashka [77]2 years ago
4 0

<u>Given </u><u>:</u><u>-</u>

  • x² + 16x -13 [correct]

<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u>

  • To convert it in vertex form .

<u>Answer </u><u>:</u><u>-</u>

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

<u>Hence</u><u> the</u><u> required</u><u> answer</u><u> </u><u>is</u><u> </u><u>(</u><u>x+</u><u>8</u><u>)</u><u>²</u><u> </u><u>-</u><u>7</u><u>7</u><u>.</u>

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