In recent years, physicists have learned to create metamaterials— engineered materials not found in natur —with negative indices of refraction. It’s not yet possible to form a lens from a material with a negative index of refraction, but researchers are optimistic. Suppose you had a planoconvex lens (flat on one side, a 15 cm radius of curvature on the other) that is made from a metamaterial with n = -1.25. If you place an object 12 cm from this lens,

(a) What type of image will be formed

(b) Where will the image be located?