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Math

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determine vertex, focus and directrix of parabola. then graph the parabola.


second equation:
y^2 -4y -12x= 8

Please help me this is do 2day bc i forget to turn it in to my teacher

  • Math -

    12 x + 8 = y^2 - 4 y
    add 4 to both sides
    12 x + 12 = y^2 - 4 y + 4
    so

    (y-2)^2 = 12 (x+1) = 4*3 (x+1)

    opens right

    vertex at (-1,2)
    focus to vertex = 3 so focus at (2,2)
    directrix to vertex = 3 so directrix at x = -4

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