Once again yours is showing just generic information, not your actual card for the video card.
Your DX:
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Display Devices
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Card name: Intel® HD Graphics Family
Manufacturer: Intel Corporation
Chip type: Intel® HD Graphics Family
DAC type: Internal
Device Type: Full Device
Device Key: Enum\PCI\VEN_8086&DEV_0A16&SUBSYS_22D6103C&REV_0B
Display Memory: 1792 MB
Dedicated Memory: 0 MB
Shared Memory: 1792 MB
Current Mode: 1920 x 1080 (32 bit) (60Hz)
Monitor Name: Generic PnP Monitor
Monitor Model: unknown
Monitor Id: CMN15B9
Native Mode: 1920 x 1080(p) (60.049Hz)
Output Type: Internal
Driver Name: igdumdim64.dll,igd10iumd64.dll,igd10iumd64.dll,igdumdim32,igd10iumd32,igd10iumd32
Driver File Version: 10.18.0010.3496 (English)
Driver Version: 10.18.10.3496
My DX:
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Display Devices
---------------
Card name: Intel® HD Graphics 4600
Manufacturer: Intel Corporation
Chip type: Intel® HD Graphics Family
DAC type: Internal
Device Type: Full Device
Device Key: Enum\PCI\VEN_8086&DEV_0416&SUBSYS_F9351179&REV_06
Display Memory: 1792 MB
Dedicated Memory: 0 MB
Shared Memory: 1792 MB
Current Mode: 1920 x 1080 (32 bit) (60Hz)
Monitor Name: Generic PnP Monitor
Monitor Model: unknown
Monitor Id: CMN1737
Native Mode: 1920 x 1080(p) (60.008Hz)
Output Type: Internal
Driver Name: igdumdim64.dll,igd10iumd64.dll,igd10iumd64.dll,igdumdim32,igd10iumd32,igd10iumd32
Driver File Version: 10.18.0010.4061 (English)
Driver Version: 10.18.10.4061
DDI Version: 11.1
Feature Levels: 11.1,11.0,10.1,10.0,9.3,9.2,9.1
Driver Model: WDDM 1.3
Graphics Preemption: DMA
Compute Preemption: Thread
Miracast: Supported
Hybrid Graphics GPU: Integrated
Power P-states: Not Supported
Driver Attributes: Final Retail
Driver Date/Size: 12/31/2014 23:41:02, 10896312 bytes
WHQL Logo'd: n/a
WHQL Date Stamp: n/a
Note that mine actually shows what model I have for my video card... That is probably why my video card has no problems where yours does, because your intel card is being used as a "generic" by it's drivers.. When they make generic bundle drivers they are universal to work on all the cards, but ultimately as with anything that is universal it does not take into account special aspects of the device it's linked to..
Your best bet is to try to find different drivers and update your intel systems, not just the drivers to the video card but also the intel control panel (newer control panel=more features). I noticed your drivers are rather old, so by now there is probably a newer driver available for it, you just may have to manually find it for your exact version of your video card that you have. I believe yours is the intel HD4400 but double check under device manager to verify that, and manually search for the drivers that suit that card instead of letting windows/hp pick the drivers for it. I don't have a 4400 so I am not sure if it has problems specific to it's card type, but it's strange that it just has your vid card marked as just an intel, when that happens it is usually using a "generic" driver instead of a specialized one for the exact hardware you've got.