plotting - How to rotate the curve but not the axes?

I have a such graphic:

data = {{0, 5}, {1.9, 7.5}, {0, 12}, {-5, 15.5}, {-1.2, 33.4}};
p=Plot[Interpolation[Reverse /@ data, x, InterpolationOrder -> 2], {x, 
  0, 55}, Epilog -> {Red, PointSize[.01], Point[Reverse /@ data]}]

But acutually this picture is expected(except that ticks label rotated)

Note the interpolation method should be used,but not the fit method here.How to get such graphic?

Update:

I get a lot solution in following answers.But I realize if I have a option Filling -> Axis in my p.All solution cannot work anymore.

Answer

p = Plot[Interpolation[Reverse /@ data, x, InterpolationOrder -> 2], {x, 0, 55}, 
         Epilog -> {Red, PointSize[.01], Point[Reverse /@ data]}, Filling -> Axis]

You can post-process p to rotate the graphics primitives:

Show[Normal[p] /. prim : _Line | _Point | _Polygon :> 
   GeometricTransformation[prim, RotationTransform[Pi/2]], 
 PlotRange -> All, AspectRatio -> GoldenRatio]

Mathematica graphics

Comments

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