You can
put this solution on YOUR website!The parabola is already in vertex form,

where (h,k) is the vertex.
It's just a bit hidden.

The vertex is (0,6).

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x-3/x+5<0.
Break up the number line into 3 regions.
Region 1: (

,

)
Region 2: (

,

)
Region 3: (

,

)
For each region, choose a point (not an endpoint) and test the inequality.
If the inequality is solved, that region is part of the solution.
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Region 1:

False, this region is not part of the solution.
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Region 2:

True, this region is part of the solution.
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Region 3:

False, this region is not part of the solution.
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Only Region 2 is the solution region.
(

,

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The curve is below the x-axis(< 0) on in the region (-5,3).