<prompt> Parabola nyekundu iliyoonyeshwa ni grafu ya mlinganyo x ay2 by c. Tafuta abc.asyukubwa 150;ticklen halisi3;nafasi halisi ya tiki2;urefu halisi 0.1cm;saizi halisi ya mshale0.14cm;mhimili wa kalamunyeusi1.3bp;vectorarrowsize halisi0.2cm;tickdown halisi-0.5;tickdownlength halisi-0.15inch;halisi tickdownbase0.3;tickdown halisitickdown;utupu rr_cartesian axesxleft halisi, xright halisi, ybottom halisi, ytop halisi, xstep1 halisi, ystep1, booluseticksuongo, bool complexplaneuongo, bool usegridkweli kuagiza grafu;mimi halisi;ikiwacomplexplane lebotextnormalRe,xright,0,SE;lebotextnormalIm,0,ytop,NW; nyengine lebox,xright0.4,-0.5;leboy,-0.5,ytop0.2;ylimitsybottom,ytop;xlimits xleft, xright;halisi TicksArrx,TicksArry;kwaixleftxstep; i0.1 TicksArrx.pushi;kwaiybottomystep; i0.1 TicksArry.sukumai;ikiwa tumia gridi xaxisBottomTopextendfalse, Kupe, TicksArrx ,pTickgray0.22, ongezakweli,pisiyoonekana;,juukweli;yaxisLeftRightextendfalse,Ticks, TicksArry ,pTickgrey0.22,extendtrue,pisiyoonekana;,Mishale;ikiwa vijiti vya matumizi xequals0, yminybottom, ymaxytop, paxispen, Ticks,TicksArry ,pTicknyeusi0.8bp,Ukubwaurefu wa kutekenya, juukweli, Mishaleukubwaaxisarrowsize;yequals0, xminxleft, xmaxxright, paxispen, Ticks,TicksArrx ,pTicknyeusi0.8bp,Ukubwaurefu wa kutekenya, juukweli, Mishaleukubwaaxisarrowsize; nyengine xequals0, yminybottom, ymaxytop, pmhimili, juukweli, Mishaleukubwaaxisarrowsize;yequals0, xminxleft, xmaxxright, paxispen, juukweli, Mishalesizeaxisarrowsize;;lowerx halisi, upperx, lowery, uppery;f halisi x halisi kurudi -x4x425;chini -9;juu 1;rr_cartesian_axes-8,7,lowry,uppery;choratafakari0,0,1,1grafuf,lowry,uppery,operator .., nyekundu;asyKila alama ya tiki kwenye grafu ni kitengo kimoja.  <response>: Kipeo cha parabola ni 5,-4, kwa hivyo mlingano wa parabola ni wa umbo x ay 42 5. Parabola hupitia nukta 3,-2. Kuweka thamani hizi kwenye mlinganyo ulio hapo juu, tunapata 3 a-2 42 5. Kutatua kwa a, tunapata a -12. Kwa hivyo, mlinganyo wa parabola umetolewa na x -frac12 y 42 5 -frac12 y2 8y 16 5 -frac12 y2 - 4y - 3. Jibu ni -12 - 4 - 3 -frac152. 