I know there is a list of supported graphic cards as posted that are ideal for the Sims 3:
Windows Supported Video Cards
NVIDIA GeForce seriesFX 5900, FX 5950
6200, 6500, 6600, 6800
7200, 7300, 7600, 7800, 7900, 7950
8400, 8500, 8600, 8800
9300, 9400, 9500, 9600, 9800
G100, GT 120, GT 130, GTS 150
GTS 250, GTX 260, GTX 280, GTX 285, GTX 295ATI Radeon™ series
9500, 9600, 9800
X300, X600, X700, X800, X850
X1300, X1600, X1800, X1900, X1950
2400, 2600, 2900
3450, 3650, 3850, 3870
4850, 4870Intel® Graphics Media Accelerator (GMA)
GMA 3-Series, GMA 4-Series
Laptop versions of these chipsets may work, but may run comparatively slower. Standalone cards that are installed in vanilla PCI slots (not PCIe or PCIx or AGP), such as some GeForce FX variants, will perform poorly.
Integrated chipsets such as the ATI Xpress and the NVIDIA TurboCache variants may default to settings that are higher than what would be optimal for them. Graphics settings can be lowered to improve performance.
The NVIDIA GeForce FX series is unsupported under Vista.
I am not sure if this card would work:
Integrated graphics - ATI Radeon HD 3200
is "HD 3200" something different from the listed? Would it support Pixel Shader 2.0 (another Sims 3 requirement)?
If intel gma-3 series support the game, hd 3200 will support. Better buy gaming card like hd 4670 for games. Igp sucks for gaming.
The HD 3200 has roughly the same performance as the FX 5900 or the Radeon 9800.