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Troubles with some math Translations

  1. Feb 20, 2005 #1
    Hey I'm having a few troubles with some Translations if anyone could help me out.

    15. The graph of y=f(x). where f(x) = |x+4| + 1, its reflected in the y axis. This produces the same results as would translating the graph of y=f(x) to the right by how many units?

    I was sick for a bit so I sort of forget or am unsure of how you'd figure that out. Essentially what does |x+4| + 1 look like? Is it a prabola or a straight line sort of deal. I think after that reminder I could manage.

    Okay and heres a few more... They have pics so it might be hard... so I'll try and simplify.

    if y=f(x^2) -3 what does y=1/f(x^2) -3 look like? Its multiple choice but its hard to explain since they are in picture format. What happens to parabola's when they are 1/f(x)?

  2. jcsd
  3. Feb 21, 2005 #2


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    f(x)= |x+4| is a "bent" straight line. It is the straight line through (0,4) and (-4,0) to the right of x=-4 and then "bends" to go through (-5, 1) again.

    f(x)= |x+4|+ 1 is that moved up 1.

    Reflecting in the y axis changes x to -x so (-4,1) to (4,1), same as translating 8 places to the right.
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