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Mathematics 19 Online
OpenStudy (anonymous):

HEEEEEELP MEEEE !! In each of the following functions, describe how the graph of the given function can be obtained from the graph of f(x) y=f(x)−1 y=1/2(f(x)+2) y=-2(f(x)−5)

OpenStudy (anonymous):

@KeithAfasCalcLover help me please

OpenStudy (anonymous):

Yeah sure! In general, if you start with the function \(y=f(x)\) and transform it to the function: \(y=af[k(x-d)]+c\) It has gone under the following transformations: -Vertical stretch or compression by factor \(a\) -Horizontal stretch or compression by factor \(\frac{1}{k}\) -Horizontal translation \(d\) units to the right -Vertical translation \(c\) units up Makes sense so far?

OpenStudy (anonymous):

yes, but are you doing the first one ?

OpenStudy (anonymous):

can you tell me the transformation for the first one @KeithAfasCalcLover ??

OpenStudy (anonymous):

@KeithAfasCalcLover

OpenStudy (anonymous):

Yep! So then with \(f(x)-1\), you have translated it a whole unit down so the graph will just be graphed one unit lower than usual

OpenStudy (anonymous):

ok thanks and the second part @KeithAfasCalcLover

OpenStudy (anonymous):

will it be 2 spaces left ? @KeithAfasCalcLover

OpenStudy (anonymous):

and help with the second and third one PLEASE HURRRRY !!! @tkhunny

OpenStudy (anonymous):

@tkhunny please help!!

OpenStudy (anonymous):

@tkhunny !!! help @robtobey

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