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

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December 2nd 2006, 01:50 AM
becca999

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.
December 2nd 2006, 01:54 AM
CaptainBlack

Quote:

Originally Posted by becca999

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
December 2nd 2006, 05:11 AM
becca999

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??
December 2nd 2006, 06:55 AM
CaptainBlack

Quote:

Originally Posted by becca999

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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