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from the equation of a parabola identify the focus and directrix:
y^2 + 12x -6y + 21 = 0

Sagot :

y² + 12x - 6y + 21 = 0
                      - 21  - 21
        y² + 12x - 6y = -21
        12x + y² - 6y = -21
12x + (y² - 6y + 9) = -21 + 9
        12x + (y - 3)² = -12
        -12      -12       -12
          -x + (y - 3)² = 1
                   -12
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