<prompt> Sehemu ya grafu ya chaguo za kukokotoa za quadratic fx imeonyeshwa hapa chini.Acha gx-fx na hxf-x. Ikiwa a ni nambari ya pointi ambapo grafu za yfx na ygx zinapishana, na b ni nambari ya pointi ambapo grafu za yf x na yhx intersect, basi 10ab ni nini?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, ystep1, bool useticksfalse, bool complexplanefalse, bool usegridtrue 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, Ticks, TicksArrx ,pTickgray0.22,extendtrue,pisiyoonekana;,juukweli;yaxisLeftRightextendfalse,Ticks, TicksArry ,pTickgray0.22,extendtrue, pinvisible;,mishale;ikiwa vijiti vya matumizi xequals0, yminybottom, ymaxytop, paxispen, Ticks,TicksArry , pTickblack0.8bp,Sizeticklength, juukweli, Mishalesizeaxisarrowsize;yequals0, xminxleft, xmaxxright, paxispen, Ticks,TicksArrx , pTickblack0.8bp,Sizeticklength, juukweli, Mishalesizeaxisarrowsize; nyengine xequals0, yminybottom, ymaxytop, pmhimili, juukweli, Mishaleukubwaaxisarrowsize;yequals0, xminxleft, xmaxxright, paxispen, juukweli, Mishalesizeaxisarrowsize;;rr_cartesian_axes-2,5,-2,4;halisi fx halisi kurudi x-1x-32;choragraphf,-1,5,operator .., nyekundu;asy  <response>: Kumbuka kwamba grafu za ygx na yhx ni uakisi wa grafu ya yfx kwenye mhimili wa x-na y- mhimili, kwa mtiririko huo. Kwa hivyo, grafu asili hukatiza grafu hizi mbili kwenye vipatavyo vyake vya x-na y-intercepts, mtawalia. Hii inaonyeshwa kwenye picha ifuatayo: 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, ystep1, bool useticksfalse, bool complexplanefalse, bool usegridtrue 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, Ticks, TicksArrx ,pTickgray0.22,extendtrue,pisiyoonekana;,juukweli;yaxisLeftRightextendfalse,Ticks, TicksArry ,pTickgray0.22,extendtrue, pinvisible;,mishale;ikiwa vijiti vya matumizi xequals0, yminybottom, ymaxytop, paxispen, Ticks,TicksArry , pTickblack0.8bp,Sizeticklength, juukweli, Mishalesizeaxisarrowsize;yequals0, xminxleft, xmaxxright, paxispen, Ticks,TicksArrx , pTickblack0.8bp,Sizeticklength, juukweli, Mishalesizeaxisarrowsize; nyengine xequals0, yminybottom, ymaxytop, pmhimili, juukweli, Mishaleukubwaaxisarrowsize;yequals0, xminxleft, xmaxxright, paxispen, juukweli, Mishalesizeaxisarrowsize;;rr_cartesian_axes-5,5,-4,4;halisi fx halisi kurudi x-1x-32;g halisi x halisi return -fx;h halisi x halisi return f-x;choragraphf,-1,5,operator .., nyekundu;choragrafug,-1,5,kiendeshaji .., samawati;choragrafuh,-5,1,opereta .., bluu;chora-2,-5--0,-5,nyekundu; leboyfx,0,-5,E;chora-2,-6--0,-6, cyan; leboygx,0,-6,E;chora-2,-7--0,-7,bluu; leboyhx,0,-7,E;nukta 1,0, magenta; nukta 3,0, magenta; nukta 0,1.5, zambarau;asy Kwa kuwa jedwali asili lina viingilia 2 x-na 1 y-intercept, tuna a2 na bge 1. Kwa kuwa chaguo la kukokotoa asilia haliwezi kugeuzwa, it inaweza kuvuka uakisi wake kwenye mhimili wa y-mahali pengine kuliko kwa y-intercept, lakini grafu inaonyesha wazi kwamba haifanyi hivyo, kwa hivyo b 1 na 10ab 1021 21. 