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Vertex figures in quadratic expressions part one, featuring Amy, Tangle, Rouge, Blaze, Sally and Marine



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  • View Count:432
  • Rating:General - Intended for all ages.
  • Publish Time:2021-12-01 05:33

Vertex figures in quadratic expressions part one, featuring Amy, Tangle, Rouge, Blaze, Sally and Marine



Write (4x² - 12x + 9) as a factorized perfect square expression and find its vertex figure.

4x² - 12x + 9 = (2x - 3)²

At x = 3 / 2

4(3 / 2)² - 12(3 / 2) + 9 = 0

{2(3 / 2) - 3}² = 0

vertex figure as (3 / 2, 0)

 

Write (4x² - 20x + 25) as a factorized perfect square expression and find its vertex figure.

4x² - 20x + 25 = (2x - 5)²

At x = 5 / 2

4(5 / 2)² - 20(5 / 2) + 25 = 0

{2(5 / 2) - 5}² = 0

vertex figure as (5 / 2, 0)

 

Write (9x² - 30x + 25) as a factorized perfect square expression and find its vertex figure.

9x² - 30x + 25 = (3x - 5)²

At x = 5 / 3

9(5 / 3)² - 30(5 / 3) + 25 = 0

{3(5 / 3) - 5}² = 0

vertex figure as (5 / 3, 0)


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0 user (users) favorited this work
  • View Count:432
  • Rating:General - Intended for all ages.
  • Publish Time:2021-12-01 05:33