Graphical Reasoning The figure shows the graphs of the function f(x)=sin(πx / 4) and the secun…

Graphical Reasoning The figure shows the graphs of the function f(x)=sin(πx / 4) and the secund-degree Taylor polynomial P_7(x)=1-(π^2 / 32)(x-2)^2 centered at x=2 . [ (a) Use the symmetry of the graph of f to write the second-; degree Taylor polynomial Q_2(x) for f centered at x=-2 .; (b) Use a horizontal translation of the result in part (a) to find; the second-degree Taylor polynomial R_2(x) for f centered; at x=6 . ] [ (c) Is it possible to use a horizontal translation of the result in; part (a) to write a second-degree Taylor polynomial for f; centered at x=4 ? Explain. ]

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