1. An apparatus for transforming augmented reality information of a head-up display (HUD) for a vehicle, comprising: a first projection transforming formula generation unit configured to extract a conjugate point by performing feature point matching on a first feature point of a forward recognition image of the vehicle input from a forward recognition camera and a second feature point of a first driver-based viewpoint image input from a driver-based viewpoint camera whose installation position is different from that of the forward recognition camera, and generate a first projection transforming formula by extracting the conjugate point; a second projection transforming formula generation unit configured to generate a second projection transforming formula using a straight-line intersection of a second driver-based viewpoint image, which is extracted from the second driver-based viewpoint image input from the driver-based viewpoint camera, and HUD coordinates pre-defined on the HID; and an augmented reality information transformation unit configured to sequentially apply the generated first and second projection transforming formulas to recognition coordinates of a forward object, which is recognized from the first forward recognition image, to calculate primary and secondary transformation coordinates, and render the secondary transformation coordinates on the HUD.