Like Jason said, this is recorded in the default trace, so you can just query it to look for growth events.
Something like this would do the trick:
DECLARE @filename NVARCHAR(4000);
-- Current default trace
SELECT @filename = CAST(value AS NVARCHAR(4000))
FROM ::
FN_TRACE_GETINFO(DEFAULT)
WHERE traceid = 1
AND property = 2
-- Preserve the path and replace the current default trace with log.trc
SET @filename = LEFT(@filename,
LEN(@filename) - CHARINDEX('\',REVERSE(@filename)))
+ '\log.trc'
-- Auto growth events in the current trace file
SELECT
TE.name AS [EventName],
T.DatabaseName,
t.DatabaseID,
t.NTDomainName,
t.ApplicationName,
t.LoginName,
t.SPID,
t.IntegerData/128 AS MBGrown,
t.Duration,
t.StartTime,
t.EndTime,
t.textdata
FROM sys.fn_trace_gettable ( @filename, DEFAULT) T
JOIN sys.trace_events TE ON T.EventClass = TE.trace_event_id
WHERE TE.name like '%grow%'
ORDER BY t.StartTime;
Cheers!