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garri49 [273]
2 years ago
10

Rewrite the following parabola in vertex form by completing the square y= x^2 - 8x +13

Mathematics
1 answer:
Dmitry_Shevchenko [17]2 years ago
7 0

Answer:

  • y = (x - 4)² - 3

Step-by-step explanation:

<u>Given parabola:</u>

  • y = x² - 8x + 13

<u>Complete the square to convert the equation into vertex form:</u>

  • y = x² - 8x + 13 =
  •      x² - 2*x*4 + 4² - 4² + 13 =
  •      (x - 4)² - 16 + 13 =
  •      (x - 4)² - 3
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