document.write( "Question 1063585: Given the equation x+4y^2 =16
\n" ); document.write( "a) find the intercepts
\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( "C) Graph the Equation. Find three additional points besides the intercepts.\r
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Algebra.Com's Answer #678706 by stanbon(75887)\"\" \"About 
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)
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\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.
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\n" ); document.write( "Graph::
\n" ); document.write( "\"graph%28400%2C400%2C-10%2C20%2C-10%2C10%2Csqrt%2816-x%29%2C-sqrt%2816-x%29%29\"
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\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.
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