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The following graph describes function 1, and the equation below it describes function 2: Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15 Function 2 f(x) = −x2 + 2x − 15 Function ____ has the larger maximum. (Put 1 or 2 in the blank space)
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@pooja195 @Preetha
@ganeshie8 @ParthKohli @johnweldon1993 @amoodarya
\[f_1(x)=-x^2+8x-15\] ?
\[f_1(x)=-(x^2-8x)-15\\-(x^2-8x+16-16)-15\\=-((x-4)^2-16)-15=\\-(x-4)^2+16-15\]
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so max of f1 is on x=4
\[f_1=-x^2+8x-15\\-(x^2-8x)-15=\\-((x-4)^2-16)-15=\\-(x-4)^2+16-15\]
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