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1 August, 00:46

What is the focus of the parabola given by the equation (y - 3) 2 = 8 (x - 5) ?

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  1. 1 August, 03:36
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    Vertex is (h, k) then

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

    so we have a parabola that opens left or right

    p is distance from vertex to focus

    ok, so if p is positive, tehen it opens to the right

    the focus is to the right of the vertex

    s

    (y-3) ^2=4 (2) (x-5)

    vertex is (5,3)

    2 is positive so focus is to the right of vertex

    it is 2 units from vertex

    (5,3), move to right 2 units is 5+2=7

    (7,3) is focus
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