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Mathematics 16 Online
OpenStudy (anonymous):

y= -2x²(x+3) would this function stretch or compress ?

OpenStudy (anonymous):

@dpaInc can you please help me out ?

OpenStudy (anonymous):

As compared to...? something like: \[x^3 + x^2 \] ?

OpenStudy (anonymous):

no using this a (k(x-d)) +c

OpenStudy (anonymous):

@Calcmathlete can you help ?

OpenStudy (anonymous):

Sorry...not sure :/

OpenStudy (anonymous):

thanks anyways :)

OpenStudy (anonymous):

I would think they mean to say what does it do to a function with no coefficients. I can't be sure. :/ Just think about what happens to y as the coefficients get extremely large. Then what happens when they are extremely small or nonexistant?

OpenStudy (anonymous):

im just not sure if you consider the negative sign before the coefficient or not?

OpenStudy (anonymous):

The negative would simply invert it. It would not have an effect on how rapidly the function grows.

OpenStudy (anonymous):

so it would compress ? gahhh this is mind boggling

OpenStudy (anonymous):

Stretching would mean that the curve grows vertically very very fast. Compression would mean that the curve grows more slowly and makes it look more short and squatty.

OpenStudy (anonymous):

yes but i dont understand what this particular function would be doing

OpenStudy (anonymous):

Well, if you distribute the -2x^2 you can see that it is a cubic, no?

OpenStudy (anonymous):

ohh true true !

OpenStudy (anonymous):

So if you imagine that the coefficients were lets say.... 10000, this function would grow extremely fast. If the coefficients were perhaps 0.001, the function would grow extremely slowly. |dw:1343102233361:dw|

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