<prompt> Sehemu ya grafu ya y fx imeonyeshwa kwa rangi nyekundu hapa chini, ambapo fx ni chaguo za kukokotoa za quadratic. Umbali kati ya mistari ya gridi ni 1 unit.Ni jumla gani ya nambari zote tofauti x vile fffx-3 ?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-8,4,-6,6;f halisi x halisi kurudi x24x-3;choragraphf,-8,4,operator .., nyekundu;asy  <response>: Kwanza, tunaona kwamba kuna pointi mbili kwenye grafu ambazo y-coordinates ni -3. Hizi ni -4,-3 na 0,-3. Kwa hivyo, ikiwa fffx-3, basi ffx ni sawa na -4 au 0.Kuna pointi tatu kwenye grafu ambazo y-coordinates zake ni -4 au 0. Hizi ni -2,-4, -6,0, na 2,0. Kwa hivyo, ikiwa ffx ni -4 au 0, basi fx ni sawa na -2, -6, au 2.Kuna pointi nne kwenye grafu ambazo y-coordinates ni -2 au 2 na hakuna ambayo y-coordinate ni -6. Viwianishi vya x-vya pointi hizi si nambari kamili, lakini tunaweza kutumia ulinganifu wa grafu kuhusiana na mstari wima x-2 ili kubaini kwamba ikiwa pointi hizi ni x_1,-2 , x_2,-2, x_3,2, na x_4,2, kisha x_1x_2-4 na x_3x_4-4. Kwa hivyo, jumla ya viwianishi vyote vinne vya x-ni -8. 