TRACON controller reported turning an aircraft into a higher MVA.

Narrative:

I received a handoff on this aircraft on an assigned heading to the northeast destined for ZZZ airport. The aircraft was above a 5000 foot MVA. I vectored the aircraft to the east to set them up for an instrument approach. The vector clipped the northern edge of a 5600 foot MVA. My instructor caught the MVA violation but the aircraft had already entered it. I issued a climb to 6000 feet to get the aircraft above the MVA. The aircraft continued onto ZZZ without issues. I should keep the MVA map displayed until I am very well versed on the MVA's in and adjacent to my airspace.

Original NASA ASRS Text

Title: TRACON Controller reported turning an aircraft into a higher MVA.

Narrative: I received a handoff on this aircraft on an assigned heading to the northeast destined for ZZZ airport. The aircraft was above a 5000 foot MVA. I vectored the aircraft to the east to set them up for an instrument approach. The vector clipped the northern edge of a 5600 foot MVA. My instructor caught the MVA violation but the aircraft had already entered it. I issued a climb to 6000 feet to get the aircraft above the MVA. The aircraft continued onto ZZZ without issues. I should keep the MVA map displayed until I am very well versed on the MVA's in and adjacent to my airspace.

Data retrieved from NASA's ASRS site and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.

Attributes
ACN	1603490
Time
Date	201812
Local Time Of Day	1801-2400
Place
Locale Reference	ZZZ.TRACON
State Reference	US
Aircraft 1
Make Model Name	Skyhawk 172/Cutlass 172
Flight Phase	Cruise
Route In Use	Vectors
Flight Plan	IFR
Person 1
Function	Approach Departure Trainee
Qualification	Air Traffic Control Developmental
Events
Anomaly	ATC Issue All Types Deviation - Track / Heading All Types Inflight Event / Encounter CFTT / CFIT