The "Q-curves" Q(1)(c) = c, Q(2)(c) = c(2) + c,..., Q(n)(c) = (Q(n-1)(c))(2) + c = f(c)(n) (0) have long been observed and studied as the shadowy curves which appear illusively - not explicitly drawn in the familiar orbit diagram of Myrberg's map f(c)(x) = x(2) + c. We illustrate that Q-curves also appear implicitly, for a different reason, in a computer-drawn bifurcation diagram of x(2) + c as well - by "bifurcation diagram" we mean the collection of all periodic points of fc (attracting, indifferent and repelling) - these collections form what we call "P-curves". We show Q-curves and P-curves intersect in one of two ways: At a superattracting periodic point on a P-curve, the infinite family of Q-curves which intersect there are all tangent to the P-curve. At a Misiurewicz point, no tangencies occur at these intersections; the slope of the P-curve is the fixed point of a linear system whose iterates give the slopes of the Q-curves. We also introduce some new phenomena associated with c sin x illustrating briefly how its two different families of Q-curves interact with P-curves. Our algorithm for finding and plotting all periodic points (up to any reasonable period) in the bifurcation diagram is reviewed in an Appendix.