Physics with Calculus
A convex lens bends parallel rays toward a focal point on the far side and has positive focal length; a concave lens bends parallel rays away as if from the near focal point and has negative focal length.
A convex lens bends parallel rays away from the near focal point and has negative focal length; a concave lens bends them toward the far focal point and has positive focal length.
Both convex and concave lenses bend parallel rays toward a focal point on the far side, but only the convex lens has nonzero focal length.
Both convex and concave lenses bend parallel rays away from the lens, but the sign of focal length depends only on object distance.