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

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Panoyinidn
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)
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