<prompt> Parabola nyekundu iliyoonyeshwa ni grafu ya mlinganyo x ay2 by c. Tafuta c. Mistari ya gridi ya taifa imepangwa kwa kitengo kimoja.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 x-2x-22-4;chini -2;juu 6;rr_cartesian_axes-5,4,lowry,uppery;choratafakari0,0,1,1grafuf,lowry,uppery,operator .., nyekundu;asy  <response>: Kipeo cha parabola ni -4,2, kwa hivyo mlingano wa parabola ni wa umbo x ay - 22 - 4.Parabola hupitia nukta -2,4. Kuweka thamani hizi kwenye mlingano ulio hapo juu, tunapata -2 a4 - 22 - 4.Kutatua kwa a, tunapata a 12. Kwa hivyo, mlinganyo wa parabola umetolewa na x frac12 y - 22 - 4 frac12 y2 - 4y 4 - 4 frac12 y2 - 2y - 2.Jibu ni -2.Vinginevyo, thamani ya x ay2 by c ni c wakati y 0. Parabola hupita kwa uhakika -2,0, hivyo c -2. 