In this paper, the effect of undercooling △T and the interface energy anisotropy parameter ε
4 on the shape of the equiaxed dendritic tip has been investigated by using a quantitative phase-field model for solidification of binary alloys. It was found that the tip radius ρ increases and the tip shape amplitude coefficient A
4 decreases with the increase of the fitting range for all cases. The dendrite tip shape selection parameter σ
* decreases and then stabilizes with the increase of the fitting range, and σ
* increases with the increase of ε
4. The relationship between σ
* and ε
4 follows a power law function σ
* ∝ ε
4
α, and is independent of but dependent of the fitting range. Numerical results demonstrate that the predicted σ
* is consistent with the MST curve for ε
4 < 0.02, and σ
* obtained from our phase-field simulations is sensitive to the undercooling when ε
4 is fixed.