An intervertebral implant includes a body for insertion between adjacent vertebrae, and one or more anchors extending from the body for securing the body between the vertebrae. A linear motion control mechanism is mounted in the body and operable to limit linear translation of the anchor(s) relative to the body. Also, a pivot control mechanism in the body operates to limit pivot motion of the anchor(s) relative to the body. The linear and pivot control mechanisms are configured in various arrangements and embodiments exhibiting adjustable dynamic settings, allowing a single implant to provide various types of dynamic fixation with ranges of motion that permit loads to transfer to graft material contained in the disk space.