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Math Help - identify the common function and the transofrmation shown in the graph?

  1. #1
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    identify the common function and the transofrmation shown in the graph?

    The question/directions for this problem are as follows: "Identify the common function and transformation shown in the graph. Write the formula for the graphed function."

    I identified the common function of the graph as a square root function, the original equation of this this is : [y = rad(x)]

    okay, here is the graph:

    identify the common function and the transofrmation shown in the graph?-5aml2q.jpg

    you have to write the edited graph equation huzzah! I got it wrong before
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  2. #2
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    Looks like a reflection in the y-axis therefore f(-x)

    then a horizontal shift of +3 i.e f(x-3)

    combine these with f(x) = \sqrt{x}
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  3. #3
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    thank you! but... i'm still confused?
    so..

    f(-x) = (rad x) -3?

    so many things to combine! :S
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  4. #4
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    y=\sqrt{x} in black

    y=\sqrt{-x} in green

    y=\sqrt{-(x-3)} = \sqrt{3-x} in red
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  5. #5
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    thanks to both of you! i get it now!
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