PARABOLAS 1. Write y = 2x 2 + 12x + 14 in the form y = a(x –h) 2 + k. Name the vertex, the axis of symmetry, and the direction of opening of the parabola. 2. Write x = y 2 + 14y + 20 in the form x = a(y –k) 2 + h. Name the vertex, the axis of symmetry, and the direction of opening of the parabola. 3. Write an equation for the parabola shown. 4. Write an equation of the parabola with its vertex at (5, -1) and its focus at (3, -1). Then draw the graph. 5. Graph the following parabolas. Find the vertex, axis of symmetry, focus, directrix, direction of opening and length of latus rectum. a. 3x – y 2 = 8y + 31 b. y=½x 2 + 12x – 8 ---------------------------------------------------------------------------------------------------------------------------- PARABOLAS 1. Write y = 2x 2 + 12x + 14 in the form y = a(x –h) 2 + k. Name the vertex, the axis of symmetry, and the direction of opening of the parabola. 2. Write x = y 2 + 14y + 20 in the form x = a(y –k) 2 + h. Name the vertex, the axis of symmetry, and the direction of opening of the parabola. 3. Write an equation for the parabola shown. 4. Write an equation of the parabola with its vertex at (5, -1) and its focus at (3, -1). Then draw the graph. 5. Graph the following parabolas. Find the vertex, axis of symmetry, focus, directrix, direction of opening and length of latus rectum. a. 3x – y 2 = 8y + 31 b. y=½x 2 + 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
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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.
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