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Rewrite the following parabola in vertex form by completing the square

y= x^2 - 8x +13

Sagot :

Mhanifaidn

Answer:

  • y = (x - 4)² - 3

Step-by-step 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
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