Write (9x² - 12x + 4) as a factorized perfect square expression and find its vertex figure.
9x² - 12x + 4 = (3x - 2)²
At x = 2 / 3
9(2 / 3)² - 12(2 / 3) + 4 = 0
{3(2 / 3) - 2}² = 0
vertex figure as (2 / 3, 0)
Write (25x² - 20x + 4) as a factorized perfect square expression and find its vertex figure.
25x² - 20x + 4 = (5x - 2)²
At x = 2 / 5
25(2 / 5)² - 20(2 / 5) + 4 = 0
{5(2 / 5) - 2}² = 0
vertex figure as (2 / 5, 0)
Write (25x² - 30x + 9) as a factorized perfect square expression and find its vertex figure.
25x² - 30x + 9 = (5x - 3)²
At x = 3 / 5
25(3 / 5)² - 30(3 / 5) + 9 = 0
{5(3 / 5) - 3}² = 0
vertex figure as (3 / 5, 0)