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Math Help - State the transformation applied to y = log(5,x) for each of the following.

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    State the transformation applied to y = log(5,x) for each of the following.

    Hi, i need some help to solve this question,
    First, what does it mean to "state the transformation"?
    Second,can someone solve it and show me how he/she did it?
    State the transformation applied to y = log5x for each of the following:
    a) y = −log5x

    b)y = log5(−x)

    c)y = −log5(−x)

    Thank very much!
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    Re: State the transformation applied to y = log(5,x) for each of the following.

    At the beginning of each subsection you draw y_1=\log_5x.

    a) symmetry relative to x-axis and you get y=-\log_5x

    b) symmetry y-axis; you get y=\log_5(-x)

    c) symmetry x-axis (you get y_2=-\log_5x), and later symmetry y-axis - you have y=-\log_5(-x)
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  3. #3
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    Re: State the transformation applied to y = log(5,x) for each of the following.

    Quote Originally Posted by wolflessalex View Post
    Hi, i need some help to solve this question,
    First, what does it mean to "state the transformation"?
    Second,can someone solve it and show me how he/she did it?
    State the transformation applied to y = log5x for each of the following:

    a) y = −log5x reflection over the x-axis

    b)y = log5(−x) reflection over the y-axis

    c)y = −log5(−x) ... you tell me
    ...
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    Re: State the transformation applied to y = log(5,x) for each of the following.

    Thanks for the answer.
    Can you explain me what do you mean by symmetry relative to x-axis?
    I mean I just dont get what they want me to do here, draw the graphs?
    (i am sorry i ask so many questions, english isnt my first language and i need to relearn math if i plan to get into computer science program in a toronto)
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    Re: State the transformation applied to y = log(5,x) for each of the following.

    I think that first you must write all transformations and then draw the graphs, but I may misunderstood.

    You have drawn a graph: y=\log_5x

    Now I try to explain "symmetry relative to x-axis":

    x-axis is a "mirror" for your graph y=\log_5x.

    So, after this "symmetry relative to x-axis" each point of the graph y=\log_5x with coordinates (x,y) will have coordinates (x,-y).

    For instance: point with coordinates x=5, \  y=1 (that point belongs to the graph y=\log_5x), after "symmetry" will have coordinates x=5, \  y=-1.
    Another example: point (25;2) will have coordinates (25;-2) etc,
    Point (1;0) after transformation will be the same point. Understand? I cannot explain this problem more clearly
    Thanks from wolflessalex
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    Re: State the transformation applied to y = log(5,x) for each of the following.

    Thanks for the answer!!!
    Your explantion was Perfect.
    Thanks to all who answered.
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