We continue research on problems similar to the Koebe Quarter Theorem for close-to-convex polynomials with all zeros of derivative in T:={z∈C:|z|=1}. We found minimal disc containing all images of D:={z∈C:|z|<1} and maximal disc contained in all images of D through polynomials of degree 5. Moreover, we determine the extremal functions for both problems. Furthermore, we state the conjecture concerning polynomials of higher odd degrees.