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anonymous
 one year ago
please help been stuck forever medal and fan For f(x) = x2 and g(x) = (x − 4)2, in which direction and by how many units should f(x) be shifted to obtain g(x)?
anonymous
 one year ago
please help been stuck forever medal and fan For f(x) = x2 and g(x) = (x − 4)2, in which direction and by how many units should f(x) be shifted to obtain g(x)?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1440024952084:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\(\bf f(x)=x^2\implies f(x)=(x+{\color{red}{ 0}})^2 \\ \quad \\ \quad \\ \textit{function transformations} \\ \quad \\ \begin{array}{llll} \begin{array}{llll} shrink\ or\\ expand\\ by\ {\color{purple}{ A}}\end{array} \qquad \begin{array}{llll} vertical\\ shift\\ by \ {\color{green}{ D}} \end{array} \begin{array}{llll}{\color{green}{ D}} > 0& Upwards\\ {\color{green}{ D}} < 0 & Downwards\end{array} \\ % template start \qquad \downarrow\qquad\qquad\quad\ \downarrow\\ g(x) = {\color{purple}{ A}} ( x {\color{red}{ 4}} ) + {\color{green}{ D}}\\ %template end \qquad\qquad \quad \uparrow \\ \qquad\begin{array}{llll} horizontal\\ shift\\ by \ {\color{red}{ C}}\end{array} \begin{array}{llll}{\color{red}{ C}} > 0 & to\ the\ left\\ {\color{red}{ C}} < 0& to\ the\ right\end{array} \end{array}\) what do you think?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0plug in values into (x4)^2 what do u notice

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok you should shift f(x) 4 places to the left

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0sorry im back im kind of lost

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I mean to the right sorry

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\(f(x)=x^2\implies f(x)=(x+{\color{red}{ 0}})^2 \\ \quad \\ \quad \\ \textit{function transformations} \\ \quad \\ \begin{array}{llll} \begin{array}{llll} shrink\ or\\ expand\\ by\ {\color{purple}{ A}}\end{array} \qquad \begin{array}{llll} vertical\\ shift\\ by \ {\color{green}{ D}} \end{array} \begin{array}{llll}{\color{green}{ D}} > 0& Upwards\\ {\color{green}{ D}} < 0 & Downwards\end{array} \\ % template start \qquad \downarrow\qquad\qquad\quad\ \downarrow\\ g(x) = {\color{purple}{ A}} ( x {\color{red}{ 4}} ) + {\color{green}{ D}}\\ %template end \qquad\qquad \quad \uparrow \\ \qquad\begin{array}{llll} horizontal\\ shift\\ by \ {\color{red}{ C}}\end{array} \begin{array}{llll}{\color{red}{ C}} > 0 & to\ the\ left\\ {\color{red}{ C}} < 0& to\ the\ right\end{array} \end{array}\) notice the function transformation for g(x), only "C" is changing from the original

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0well. from the template, is the only value added notice, the difference from the "parent" function f(x) to g(x)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so it has a horizontal shift, of 4 units the 4 is negative, meaning the horizontal shift is to the right http://fooplot.com/#W3sidHlwZSI6MCwiZXEiOiJ4XjIiLCJjb2xvciI6IiMzQjE3RUQifSx7InR5cGUiOjAsImVxIjoiKHgtNCleMiIsImNvbG9yIjoiI0VEMEUwRSJ9LHsidHlwZSI6MTAwMH1d
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