Viability of log-log transformation for some data

[RubinLicht]

I have taken AP Statistics, and this is for the final project. What we have learned consists of some simple significant tests (t test, z test for proportions, two sample tests, chi squared, and logarithmic transforms).

My partner and I are considering creating a scatter plot of distance between dominoes and the speed of the dominoes. If we applied a logarithmic transformation to the data (assuming there is some power relationship, which is most definitely not centered at the origin), would the data appear somewhat linear?

I would also like a clarification, do log log transformations work on, say, parabolas with vertexes not centered at (0,0)? (I just plotted a parabola with its vertex at 2,4 in mathematica, and the graph turned out strange for values to the left of the vertex, is there any way to amend for this?)Thanks

 

[mfb]

If we applied a logarithmic transformation to the data (assuming there is some power relationship, which is most definitely not centered at the origin), would the data appear somewhat linear?

Test it? For some relations it can become linear.

I would also like a clarification, do log log transformations work on, say, parabolas with vertexes not centered at (0,0)?

No, unless you take that offset into account separately (e. g. plot log(x-1) instead of log(x)).