document.write( "Question 408852: The function f (x) = 2x2 + 8x + c has a minimum value of −11.Find the value of
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Algebra.Com's Answer #289496 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! The function f(x) = 2x^2+8x+c has a minimum value of −11.Find the value of c\r \n" ); document.write( "\n" ); document.write( "..\r \n" ); document.write( "\n" ); document.write( "Standard form of parabola: y=(x-h)^2+k with (h,k) being the (x,y) coordinates of the vertex. \n" ); document.write( "completing the square: \n" ); document.write( "y=2(x^2+4x+4)-8+c \n" ); document.write( "y=(x+2)^2-8+c \n" ); document.write( "This is a parabola that opens upwards (so it has a minimum) with a minimum at -8+c which is equal to -11 as given. \n" ); document.write( "-8+c=-11 \n" ); document.write( "c=-3 \n" ); document.write( "equation of parabola: \n" ); document.write( "ans:2x^2+8x-3 \n" ); document.write( "se graph below \n" ); document.write( "..\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |