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Math Help - sketching curves-transformation curves f(x)!!!!

  1. #1
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    sketching curves-transformation curves f(x)!!!!

    Hi, not sure what to do here. please help.

    find the equations of the curves y=f(x+2) and y=f(x)+2, in terms of x, and use these equations to find the coordinates of the points where these curves cross the y-axis.
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  2. #2
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    Quote Originally Posted by becca999 View Post
    Hi, not sure what to do here. please help.

    find the equations of the curves y=f(x+2) and y=f(x)+2, in terms of x, and use these equations to find the coordinates of the points where these curves cross the y-axis.
    It looks like you have not given us enough information here. I think we will
    need to know something about f.

    RonL
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  3. #3
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    well it a says y=f(x) where f(x)=(x-1)(x+2) but then how do you work out the equations of the curves y=f(x+2) and y=f(x)+2 in therms of x and finding coordinates??
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  4. #4
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    Quote Originally Posted by becca999 View Post
    well it a says y=f(x) where f(x)=(x-1)(x+2) but then how do you work out the equations of the curves y=f(x+2) and y=f(x)+2 in therms of x and finding coordinates??
    If f(x)=(x-1)(x+2), then

    <br />
f(x+2)=((x+2)-1)((x+2)+2)=(x+1)(x+4)<br />

    so the equation of y=f(x+2) is:

    y=(x+1)(x+4)

    similarly:

    y=f(x)+2=(x-1)(x+2)+2=x^2+x=x(x+1)

    so:

    y=x(x+1)

    RonL
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