In the present study, a detailed parametric investigation is carried out to examine the influence of the horizontal and vertical location parameters d₁ and d₂ on surface deformation caused by a long inclined tensile fault located at an arbitrary position (d₁,d₂) in a homogeneous isotropic elastic half-space, where d₁ denotes the horizontal distance of the upper edge of the fault and d₂ denotes the burial depth of the upper edge of the fault. Closed-form analytical expressions for displacement components from Singh et al., 2016, are utilized to analyze the sensitivity of horizontal and vertical surface displacements with respect to variations in fault position. It is shown that in a uniform elastic half-space, deformation is invariant under horizontal translation, i.e., the horizontal parameter d₁ produces only a translational shift in the deformation field without altering its amplitude. In contrast, deformation is highly sensitive to burial depth, i.e., the burial depth parameter d₂ significantly affects the magnitude, decay rate, and spatial distribution of deformation. The results demonstrate that in physical interpretations, a deeper tensile fault produces weaker surface deformation and shallow tensile faults produce intense surface deformation, while moving the fault sideways only shifts the deformation zone. Further, the effect of dip angle is also considered in the analysis of this study.