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12.3E: Parabola (Mazoezi)

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    178814

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    Kwa mazoezi yafuatayo, andika equation ya parabola katika fomu ya kawaida. Kisha kutoa vertex, lengo, na directrix.

    22. \(y^{2}=12 x\)

    23. \((x+2)^{2}=\frac{1}{2}(y-1)\)

    24. \(y^{2}-6 y-6 x-3=0\)

    25. \(x^{2}+10 x-y+23=0\)

    Kwa mazoezi yafuatayo, graph parabola, lebo vertex, lengo, na directrix.

    26. \(x^{2}+4 y=0\)

    27. \((y-1)^{2}=\frac{1}{2}(x+3)\)

    28. \(x^{2}-8 x-10 y+46=0\)

    29. \(2 y^{2}+12 y+6 x+15=0\)

    Kwa mazoezi yafuatayo, andika equation ya parabola kwa kutumia taarifa iliyotolewa.

    30. Kuzingatia (-4,0); directrix ni\(x=4\)

    31. Kuzingatia\(\left(2, \frac{9}{8}\right) ;\) directrix ni\(y=\frac{7}{8}\)

    32. TV ya cable inayopokea sahani ni sura ya paraboloid ya mapinduzi. Pata eneo la mpokeaji, ambalo linawekwa kwenye lengo, ikiwa sahani ni miguu 5 kote wakati wa ufunguzi wake na 1.5 futi kirefu.