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Mathematics 11 Online
OpenStudy (anonymous):

help me please! x.x

OpenStudy (anonymous):

OpenStudy (perl):

you can deduce the function of that graph by looking at certain features of the graph. what is the amplitude of the graph?

OpenStudy (anonymous):

the amplitude is 4 @perl

OpenStudy (jdoe0001):

yeap

OpenStudy (jdoe0001):

so.... notice the graph hits the y-axis at -4 and has a minimum there.... so.... if we move over the see the left-side, to see where it hits the x-axis on the left it'd end up at \(-\frac{\pi}{2}\) anyhow, that means, the graph is either shift to the left or right by that much

OpenStudy (jdoe0001):

so keep in mind that that \(\large \textit{function transformations} \\ \quad \\ \begin{array}{llll} \begin{array}{llll} shrink\ or\\ expand\\ by\ {\color{purple}{ A}}\end{array} \qquad \begin{array}{llll} vertical\\ shift\\ by \ {\color{green}{ D}} \end{array} \begin{array}{llll}{\color{green}{ D}} > 0& Upwards\\ {\color{green}{ D}} < 0 & Downwards\end{array} \\ % template start \qquad \downarrow\qquad\qquad\quad\ \downarrow\\ y = {\color{purple}{ A}} cos( x + {\color{red}{ C}} ) + {\color{green}{ D}}\\ %template end \qquad\qquad \quad \uparrow \\ \qquad\begin{array}{llll} horizontal\\ shift\\ by \ {\color{red}{ C}}\end{array} \begin{array}{llll}{\color{red}{ C}} > 0 & to\ the\ left\\ {\color{red}{ C}} < 0& to\ the\ right\end{array} \end{array}\) so... you can see what the shift is

OpenStudy (anonymous):

B! :D

OpenStudy (jdoe0001):

well

OpenStudy (jdoe0001):

recall the cos(x) graph? recall where it hits the y-axis?

OpenStudy (anonymous):

I get confused between cos and sin ):

OpenStudy (jdoe0001):

http://fooplot.com/#W3sidHlwZSI6MCwiZXEiOiI0Y29zKHgpIiwiY29sb3IiOiIjRDkxNDE0In0seyJ0eXBlIjowLCJlcSI6IjRzaW4oeCkiLCJjb2xvciI6IiMxRTFFRDEifSx7InR5cGUiOjEwMDB9XQ-- <--- notice those two if you shift either, by THAT MUCH, which one would give you the graph?

OpenStudy (anonymous):

d? @jdoe0001

OpenStudy (jdoe0001):

well... what do you think about the graphs?

OpenStudy (jdoe0001):

which one shifted would give you the graph?

OpenStudy (anonymous):

the red one? @jdoe0001 im sorry, im not so hot in this

OpenStudy (jdoe0001):

well... try it yourself there then type in x-pi/2 and then press [tab] see if it does shift that way

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