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Math Help - Parabola help

  1. #1
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    Parabola help

    i was wondering if anyone knows how to complete a this type of question:

    F(x)=-(x-2)2-5


    ( the italic 2 means squared)

    A.) sketch the parabola
    B.) domain and range
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  2. #2
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    Please help
    i cant do it
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  3. #3
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    Quote Originally Posted by Alyssa111@ View Post
    i was wondering if anyone knows how to complete a this type of question:

    F(x)=-(x-2)2-5


    ( the italic 2 means squared)

    A.) sketch the parabola
    B.) domain and range
    Hello,

    from the given equation you know:

    1. the graph is a parabola opening down
    2. the vertex is at V(2,-5)
    3. the axis of symmetry is x = 2
    4. the parabola is normal (that means no transformations)
    5. see attachment

    to B:

    there aren't any restrictions for x therefore the domain is D_f=\mathbb{R}

    the y-value of the vertex is the maximum value of the function. Thus all other values are below (-5). Therefore the range is

    R_f=(-\infty, -5]
    Attached Thumbnails Attached Thumbnails Parabola help-alyssa111.jpg  
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