Translations to a sin equation

[surreal marsh]

I dont know how to explain it as such

[dim lintel]

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[forest lantern]

Show the full context.

[surreal marsh]

we got data to find the equation of, i put the data into desmos to get the formula now i just need to say what happened to the original sin function to get it to that

the formula is y = 2.2 sin [¼(x -5.992)] -0.002

and i need to apply what hapened to a normal sin wave to get the transformed one

[forest lantern]

Ah.

[vivid scaffold]

well do you know the transformations and which part of the equation is which

[forest lantern]

What is the first thing you notice with the graph when you plot it?

i.e., do you notice any visual changes?

[surreal marsh]

Horizontal dialation, horizontal translation, vertical dialation and vertical translation

HT: 5.992 to the right since c<0
VT: -0.002 downwards since d<0
HD: Scale Factor = 4 (stretched) since k>0
VD: Scale Factor = 2.2 (Stretched) since c>0

but idk if that really answers the question

[forest lantern]

That’s correct.

[surreal marsh]

I didnt really try to derive it as such

f(x)=a*sin(k(x+c))+d

i just used that

[marble goblet]

@surreal marsh

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[surreal marsh]

+close

[marble goblet]

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