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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)?

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  1. anonymous
    • one year ago
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    |dw:1440024952084:dw|

  2. jdoe0001
    • one year ago
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    \(\bf f(x)=x^2\implies f(x)=(x+{\color{red}{ 0}})^2 \\ \quad \\ \quad \\ \textit{function transformations} \\ \quad \\ \begin{array}{llll} \begin{array}{llll} shrink\ or\\ expand\\ by\ {\color{purple}{ A}}\end{array} \qquad \begin{array}{llll} vertical\\ shift\\ by \ {\color{green}{ D}} \end{array} \begin{array}{llll}{\color{green}{ D}} > 0& Upwards\\ {\color{green}{ D}} < 0 & Downwards\end{array} \\ % template start \qquad \downarrow\qquad\qquad\quad\ \downarrow\\ g(x) = {\color{purple}{ A}} ( x {\color{red}{- 4}} ) + {\color{green}{ D}}\\ %template end \qquad\qquad \quad \uparrow \\ \qquad\begin{array}{llll} horizontal\\ shift\\ by \ {\color{red}{ C}}\end{array} \begin{array}{llll}{\color{red}{ C}} > 0 & to\ the\ left\\ {\color{red}{ C}} < 0& to\ the\ right\end{array} \end{array}\) what do you think?

  3. anonymous
    • one year ago
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    plug in values into (x-4)^2 what do u notice

  4. anonymous
    • one year ago
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    Ok you should shift f(x) 4 places to the left

  5. triciaal
    • one year ago
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    @joyraheb no

  6. anonymous
    • one year ago
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    sorry im back im kind of lost

  7. anonymous
    • one year ago
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    I mean to the right sorry

  8. anonymous
    • one year ago
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    Thx @triciaal

  9. jdoe0001
    • one year ago
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    \(f(x)=x^2\implies f(x)=(x+{\color{red}{ 0}})^2 \\ \quad \\ \quad \\ \textit{function transformations} \\ \quad \\ \begin{array}{llll} \begin{array}{llll} shrink\ or\\ expand\\ by\ {\color{purple}{ A}}\end{array} \qquad \begin{array}{llll} vertical\\ shift\\ by \ {\color{green}{ D}} \end{array} \begin{array}{llll}{\color{green}{ D}} > 0& Upwards\\ {\color{green}{ D}} < 0 & Downwards\end{array} \\ % template start \qquad \downarrow\qquad\qquad\quad\ \downarrow\\ g(x) = {\color{purple}{ A}} ( x {\color{red}{- 4}} ) + {\color{green}{ D}}\\ %template end \qquad\qquad \quad \uparrow \\ \qquad\begin{array}{llll} horizontal\\ shift\\ by \ {\color{red}{ C}}\end{array} \begin{array}{llll}{\color{red}{ C}} > 0 & to\ the\ left\\ {\color{red}{ C}} < 0& to\ the\ right\end{array} \end{array}\) notice the function transformation for g(x), only "C" is changing from the original

  10. anonymous
    • one year ago
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    ok so its c?

  11. anonymous
    • one year ago
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    hold on

  12. jdoe0001
    • one year ago
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    well. from the template, is the only value added notice, the difference from the "parent" function f(x) to g(x)

  13. anonymous
    • one year ago
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    ok yes

  14. jdoe0001
    • one year ago
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    so it has a horizontal shift, of 4 units the 4 is negative, meaning the horizontal shift is to the right http://fooplot.com/#W3sidHlwZSI6MCwiZXEiOiJ4XjIiLCJjb2xvciI6IiMzQjE3RUQifSx7InR5cGUiOjAsImVxIjoiKHgtNCleMiIsImNvbG9yIjoiI0VEMEUwRSJ9LHsidHlwZSI6MTAwMH1d

  15. anonymous
    • one year ago
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    ok yes

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