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23 July, 20:07

The equation of a parabola is 18 (y-5) 2=x+3.

What are the coordinates of the focus?

(-5, 5)

(-3, 3)

(-1, 5)

(-3, 7)

+5
Answers (1)
  1. 23 July, 23:11
    0
    1/8 (y-5) ²=x+3

    (y-5) ² = 8 (x+3)

    The formula of parabola in standard form

    (y-k) ² = 4p (x-h), (h, k) - vertex, (h+p, k) focus

    For our parabola

    vertex (-3,5)

    4p=8

    p=2

    This is a horizontal parabola because y².

    So to find the coordinates of the focus we need to add to x coordinate of vertex.

    (-3+2, 5) = (-1,5) focus

    Correct answer is (-1,5).
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