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anonymous
 one year ago
Functions f(x) and g(x) are shown below:
f(x) g(x)
f(x) = 4(x  6)2 + 3 g(x) = 2 cos(2x  π) + 4
Using complete sentences, explain how to find the maximum value for each function and determine which function has the largest maximum yvalue
anonymous
 one year ago
Functions f(x) and g(x) are shown below: f(x) g(x) f(x) = 4(x  6)2 + 3 g(x) = 2 cos(2x  π) + 4 Using complete sentences, explain how to find the maximum value for each function and determine which function has the largest maximum yvalue

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jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.1have you covered function transformations yet? should be in your book

jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.1\(\textit{function transformations} \\ \quad \\ \begin{array}{llll} \begin{array}{llll} shrink\ or\\ expand\\ by\ {\color{purple}{ A}}\end{array} \qquad \begin{array}{llll} vertical\\ shift\\ by \ {\color{green}{ D}} \end{array} \begin{array}{llll}{\color{green}{ D}} > 0& Upwards\\ {\color{green}{ D}} < 0 & Downwards\end{array} \\ % template start \qquad \downarrow\qquad\qquad\quad\ \downarrow\\ y = {\color{purple}{ 4}} ( x  {\color{red}{ 6}} )^2 + {\color{green}{ 3}}\\ %template end \qquad\qquad \quad \uparrow \\ \qquad\begin{array}{llll} horizontal\\ shift\\ by \ {\color{red}{ C}}\end{array} \begin{array}{llll}{\color{red}{ C}} > 0 & to\ the\ left\\ {\color{red}{ C}} < 0& to\ the\ right\end{array} \end{array} \\ \quad \\  \\ \quad \\ \begin{array}{llll} \begin{array}{llll} shrink\ or\\ expand\\ by\ {\color{purple}{ A}}\end{array} \qquad \begin{array}{llll} vertical\\ shift\\ by \ {\color{green}{ D}} \end{array} \begin{array}{llll}{\color{green}{ D}} > 0& Upwards\\ {\color{green}{ D}} < 0 & Downwards\end{array} \\ % template start \qquad \downarrow\qquad\qquad\quad\ \downarrow\\ y = {\color{purple}{ 2}}cos ( {\color{blue}{ 2}} x  {\color{red}{ \pi }} ) + {\color{green}{ 4}}\\ %template end \qquad\qquad \quad \uparrow \\ \qquad\begin{array}{llll} horizontal\\ shift\\ by \ {\color{red}{ C}}\end{array} \begin{array}{llll}{\color{red}{ C}} > 0 & to\ the\ left\\ {\color{red}{ C}} < 0& to\ the\ right\end{array} \end{array}\)

jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.1for the maximum yvalue, the only transformation that matters are the vertical shift and in the g(x) case, the "amplitude", or A component

jdoe0001
 one year ago
Best ResponseYou've already chosen the best response.1well, for g(x) the "A"mplitude and the vertical shift, because the amplitude is a shift as well for trigonometric ones

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Try using the second derivative test
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