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Graphing transformations help

  1. Sep 27, 2007 #1
    1. Graph the function f(x)=x^2+4x+3 by starting with the graph of y=x^2 and using transformations.



    2.



    3. I know the graph opens up, but I don't understand transformations or how to solve them, any help would be greatly appreciated.
     
  2. jcsd
  3. Sep 27, 2007 #2

    bel

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    For any function f(x), f(x-a) moves the graph right by a units, a*f(x) stretches the graph by a factor of "a", f(ax) increases the frequency of the graph "a" times, f(x)-a moves a graph down by "a" units.
     
  4. Sep 27, 2007 #3

    rock.freak667

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    Well to help you see better change f(x) into the completed square form
     
  5. Sep 27, 2007 #4

    robphy

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    If you think physically (i.e. like a freefall problem), you can almost immediately pick out the meaning of the constant 3 term and the 4x term... then transform the original y=x^2 appropriately.
     
  6. Sep 27, 2007 #5

    HallsofIvy

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    To repeat the very good advice of rock_freak667, complete the square- and it all shall be made clear to you!
     
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