HowtofindtheventeIs theVertextheMaximumÉequal to zero becausethereis a con Ifthesquaredtermisstunt lyintercept negative thegraph5,0and 3,0 1 opens downward7in't Is't t.fi ptttn t X t 30xithe ycoordinateofthe takethecoefficientof5 3 2 the nonsquared termDivide thatanswervertex30O and0,0by2 x coordinate 1 16 If thegtp p'ingof the vertex you'vefoundthevertex'stoo x coordinatesofx intercepts zeroes downwardthevertexisthemaximum1 30 0 30Divide thatanswerPlugthat infor X t 2x 15by2 x coordinatex togettheycoo of the vertex Ifthesquaredtermisroinateof thevertex511713solve theequationIax togettheycoo4 4 16 roinateof thevertexIf thegratinpIit.ttYou'vefoundtheVertex 152 3065 wardthevertexsolve theequation istheminimum225 450 675You'vefoundtheVertexgchangeequation tostandardform2 2 75Is thevertextheMaximumformstepsaboveFollowthestandardsid.FI tthevertexarelessthaniiithevertex'syvaluethe theVertex'syvalvethe theconstanttermin then.fiTgraphopensdown equationistheyintercept Changeequation tostandardformjjijjjjjj.it0,15 2 2 75THEM Ii Followthestandardformstepsabovedownwardthevertex upwardthevertexistheminimum seefindingthreepointsonagraphEndingthreepointsonagath Makeyourgraphnmi iiFindthevertexoftheequationii Ii5,0and 3,0addthexcoordinatesofthezeroes the5 3 2 22 1 Plotthethreepointsyoufound on itPlugthat infor x togettheycooroinateof thevertex5117134 4 16thevertex isoneofyourthreepoints Draw alinethroughallyourpointsThere arethreedifferentwaystofind t.ii.irtwo mo e pointst t t t itt.tt mg iGoand eo5 X x 3 5 3 3 3whatmakeparenthesisforone ofyourpointsµ g gd3solveforywiththat x valveµ 53 3 32 918findtheyintercept thisisyou ycoordinate forbothofyourother twopoints2 2 75 13,18 and 18takethat xvalveandsubtractitfromthe0,15tx coordinateofthevertexThisisyou ycoordinate forboth 1 3 2ofyourothertwopoints this isyourx coordinateforyourfinal10,75 and 17,751 pointTakethat xvalveandsubtractitfromthex coordinateofthevertex0 7 7this isyourx coordinateforyourfinalpoint0,75and 11,15