Y = (x - 1) to the second power + 2

Y = (x - 1) ² + 2

y = (x² - x - x + 1) + 2

y = (x² - 2x + 1) + 2

y = x² - 2x + (1 + 2)

y = x² - 2x + 3

x² - 2x + 3 = 0

x = - (-2) + / - √ ((-2) ² 4 (1) (3))

2 (1)

x = 2 + / - √ (4 + 12)

2

x = 2 + / - √ (16)

2

x = 2 + / - 4

2

x = 1 + 2

x = 1 + 2 x = 1 - 2

x = 3 x = - 1

y = x² - 2x + 3

y = (3) ² - 2 (3) + 3

y = 9 - 6 + 3

y = 3 + 3

y = 6

(x, y) = (3, 6)

or

y = x² - 2x + 3

y = (-2) ² - 2 (-1) + 3

y = 4 + 2 + 3

y = 6 + 3

y = 9

(x, y) = (-1, 9)