document.write( "Question 40216: Write the equation for the axis of symmetry of the graph of the equation y=5+16x-2x^2 (Hint: Rewrite the equation so that it fits the standard form of a quadratic function.) \n" ); document.write( "
Algebra.Com's Answer #25624 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! Find the vertex of the graph of the equation y=5+16x-2x^2. \n" ); document.write( "=-2(X^2-2.X*4+4^2)+2*4^2+5 \n" ); document.write( "=37-2(X-4)^2 \n" ); document.write( "VERTEX IS AT X-4=0....OR...X=4...AT X=4,WE HAVE Y=37.. \n" ); document.write( "HENCE VERTEX IS AT (4,37) \n" ); document.write( "Show the algebraic steps used to solve this problem.\r \n" ); document.write( "\n" ); document.write( "Miscellaneous_Word_Problems/40220: The vertex of a parabola is at (-4,-3). If one x-intercept is at (-11,0), what are the coordinates of the other x-intercept? \n" ); document.write( "1 solutions \n" ); document.write( "Answer 25622 by venugopalramana(1956) About Me on 2006-06-01 06:49:22 (Show Source): \n" ); document.write( "The vertex of a parabola is at (-4,-3). \n" ); document.write( "PARABOLA IS SYMMETRIC ABOUT VERTEX..SO X=-4 IS THE LINE OF SYMMETRY \n" ); document.write( "If one x-intercept is at (-11,0), \n" ); document.write( "DISTANCE OF THIS INTERCEPT POINT FROM X=-4 IS -11-(-4)=-7 \n" ); document.write( "HENCE THE OTHER INTERCEPTING POINT IS AT -4+7=3 \n" ); document.write( "what are the coordinates of the other x-intercept? \n" ); document.write( "COORDINATES OF OTHER INTERCEPT = (3,0) \n" ); document.write( " |