document.write( "Question 100246: I need to find the intercepts, graph and check for symmetry. y=4-x^2, could someone show me step by step? \n" ); document.write( "
Algebra.Com's Answer #73011 by tutorcecilia(2152)\"\" \"About 
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\n" ); document.write( "Re-write the polynomial:
\n" ); document.write( "y=-x^2+4 [the slope is negative, so the parabola will open downwards]
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\n" ); document.write( "To find the line of symetry, use the formula for finding the x-value of the vertex: -b/2a
\n" ); document.write( "Let y=-x^2+0x+4
\n" ); document.write( "Let a=-1
\n" ); document.write( "Let b=0
\n" ); document.write( "Let c=4
\n" ); document.write( "So, -b/2a=-(0)/(2)(-1)=0/-2=0
\n" ); document.write( "Therefore, the line of symetry is located at x=0 or the y-axis.\r
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\n" ); document.write( "To find the x-intercepts, plug the values into the quadratic formula and solve:
\n" ); document.write( "Let y=-x^2+0x+4
\n" ); document.write( "The result is x=-2 or x=2\r
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\n" ); document.write( "Graphing:
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