document.write( "Question 1063585: Given the equation x+4y^2 =16
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document.write( "a) find the intercepts
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document.write( "B)Is the graph symmetric with the x or y axis or both. What are the features that determine the symmetries.
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document.write( "C) Graph the Equation. Find three additional points besides the intercepts.\r
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Algebra.Com's Answer #678706 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Given the equation x+4y^2 =16 \n" ); document.write( "a) find the intercepts \n" ); document.write( "If x = 0, y = +2 or x = -2 \n" ); document.write( "y-int's:: (0,2) and (0,-2) \n" ); document.write( "------------ \n" ); document.write( "If y = 0, x = 16 \n" ); document.write( "x-int:: (16,0) \n" ); document.write( "B)Is the graph symmetric with the x or y axis or both. What are the features that determine the symmetries. \n" ); document.write( "f(x) = +-sqrt[16-x] \n" ); document.write( "f(-x) = +-sqrt[16+x] \n" ); document.write( "-f(-x) = +-sqrt[16+x] \n" ); document.write( "Since f(-x) = -f(-x) you have origin symmetry \n" ); document.write( "Since f(x) # -f(x) you do not have y-axis symmetry \n" ); document.write( "It appears there is x-axis symmetry. \n" ); document.write( "--- \n" ); document.write( "Graph:: \n" ); document.write( " \n" ); document.write( "---------------\r \n" ); document.write( "\n" ); document.write( "C) Graph the Equation. Find three additional points besides the intercepts. \n" ); document.write( "I'll leave that to you. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "----------- \n" ); document.write( " |