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36 votes
36 votes
Rewrite the following parabola in vertex form by completing the square

y= x^2 - 8x +13

User Mashet
by
3.2k points

1 Answer

11 votes
11 votes

Answer:

  • y = (x - 4)² - 3

Explanation:

Given parabola:

  • y = x² - 8x + 13

Complete the square to convert the equation into vertex form:

  • y = x² - 8x + 13 =
  • x² - 2*x*4 + 4² - 4² + 13 =
  • (x - 4)² - 16 + 13 =
  • (x - 4)² - 3
User Ayeye Brazo
by
3.1k points
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