parabolas€¦ · write an equation for the parabola shown. 4. write an equation of the parabola...
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PARABOLAS
1. Writey=2x2+12x+14intheformy=a(x–h)2+k.Namethevertex,theaxisofsymmetry,andthedirectionofopeningoftheparabola.
2. Writex=y2+14y+20intheformx=a(y–k)2+h.Namethevertex,theaxisofsymmetry,andthedirectionofopeningoftheparabola.
3. Writeanequationfortheparabolashown.
4. Writeanequationoftheparabolawithitsvertexat(5,-1)anditsfocusat(3,-1).Thendrawthegraph.
5. Graphthefollowingparabolas.Findthevertex,axisofsymmetry,focus,directrix,directionofopeningandlengthoflatusrectum.a. 3x–y2=8y+31 b.y=½x2+12x–8
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PARABOLAS
1. Writey=2x2+12x+14intheformy=a(x–h)2+k.Namethevertex,theaxisofsymmetry,andthedirectionofopeningoftheparabola.
2. Writex=y2+14y+20intheformx=a(y–k)2+h.Namethevertex,theaxisofsymmetry,andthedirectionofopeningoftheparabola.
3. Writeanequationfortheparabolashown.
4. Writeanequationoftheparabolawithitsvertexat(5,-1)anditsfocusat(3,-1).Thendrawthegraph.
5. Graphthefollowingparabolas.Findthevertex,axisofsymmetry,focus,directrix,directionofopeningandlengthoflatusrectum.a. 3x–y2=8y+31 b.y=½x2+12x–8
HYPERBOLAS
1. Drawthegraphof .
2. Writetheequationofthehyperbolashown.
3. Writeanequationofahyperbolawithfociat(6,0)and(-6,0)ifthelengthofthetraverseaxisis8units.Thendrawthegraph.
4. Thegraphof25x2–4y2+100x+24y–36=0isahyperbola.a. Findthestandardformoftheequation.b. Findthecoordinatesoftheverticesandfoci.c. Findtheequationsoftheasymptotes.d. Drawthegraph.
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HYPERBOLAS
1. Drawthegraphof .
2. Writetheequationofthehyperbolashown.
3. Writeanequationofahyperbolawithfociat(6,0)and(-6,0)ifthelengthofthetraverseaxisis8units.Thendrawthegraph.
4. Thegraphof25x2–4y2+100x+24y–36=0isahyperbola.a. Findthestandardformoftheequation.b. Findthecoordinatesoftheverticesandfoci.c. Findtheequationsoftheasymptotes.d. Drawthegraph.