Get rid of the .json, use a specific media type, if at all possible refer to a schema description in the metadata presented.

Search is a service, not a part of a resource. Whether a seperate search service aggregating all different REST resources is supplied or not is irrelevant in the example case as resource collections can be filtered, which the article highlights (the colour= parameter), for a dogs resource, or a phonebook resource etc. filtering on attributes (which can use wildcards or regexes as seen fit to do so) provides the necessary functionality anyway. Search is a diversion in these cases.

Go versionless.