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4 February, 05:39

The equation of a parabola is shown.

x-7=3/4y^2

What are the coordinates of the focus?

A.) (71/3,0)

B.) (7,-1/3)

C.) 73/4,0)

D.) 7,-3/4)

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Answers (1)
  1. 4 February, 05:41
    0
    The axis of symmetry for this parabola is the x-axis. The general form of the equation is:

    4p (x-h) = (y-k) ^2

    where the focus has the coordinates of (h+p, k)

    Manipulating the given equation to the general form:

    4 (1/3) (x-7) ^2 = (y - 0) ^2

    Therefore the coordinates of the focus is:

    (7 + (1/3),0)

    The answer is A.) (71/3,0)
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