Based on the power supply wattage size in your PC and the graphics cards that HP offered for your PC, a 35 watt graphics card appears to be the limit for your PC.
The AMD 6570 is a 60 watt card and the NVIDIA GTX 1050 is a 75 watt card.
NVIDIA GeForce 705 1GB DDR3 FH GFX 30W (optional)
AMD Radeon HD 8350 1GB FH PCIe GFX (Optional and Selected Countries Only)
AMD Radeon HD 8470 2GB FH PCIe GFX (Optional and Selected Countries Only)
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