Are you sure only

is called the parameter.
I think all the B's are called "parameters" or "regression coefficients".
Now, parameters are just numbers that are obtained when you fit data points to a model. They don't correspond to any real physical entity (unlike variables).
What does the wikipedia statement mean then? How do I know if they are linear or non-linear in B's ?
For example I have a model

How do I know if 3 or 13 or 7 are squares or cubes or fourth power of something.
The other question is, which term in the model

gives the information about which variable is dominant and which is not?