<prompt> Grafu ya 4x2 - 6x 2 y2 - 10yni hyperbola. Pata kuratibu za kituo chake.  <response>: Ili kupata hyperbola katika hali ya kawaida, tunakamilisha mraba katika vigeu vyote viwili: anzailiyopangwa 4x2-tfrac32 x 2 y2-10y 4x2-. tfrac32xtfrac916225y2-10y25tfrac94 4kushotox-tfrac34kulia2 27 y-52 tfrac94 tfrac994 y-52 - 4leftx-tfrac34kulia2 1 frac y-52994 - fracleftx-tfrac34right29916endalignedInafuata kwamba kitovu cha hyperbola ni leftfrac34,5right.asyshoka tupu x0 halisi, x1 halisi, y0 halisi, y1 halisichorax0,0--x1,0,Mshale wa Mwisho; chora0,y0--0,y1,Mshale wa Mwisho; lebox,x1,0,E; leboy,0,y1,N; kwa int isakafux01; i 