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)