document.write( "Question 849758: graph the following function and state its domain and range; f(x)=x^2-4 \n" ); document.write( "
Algebra.Com's Answer #511761 by lwsshak3(11628)\"\" \"About 
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graph the following function and state its domain and range; f(x)=x^2-4
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\n" ); document.write( "This is an equation of a parabola that opens up with vertex at the origin.
\n" ); document.write( "Its standard (vertex) form of equation:y=A(x-h)^2+k, (h,k)=vertex
\n" ); document.write( "A>0, parabola opens up
\n" ); document.write( "A<0, parabola opens down
\n" ); document.write( "For given parabola:
\n" ); document.write( "vertex: (0,-4)
\n" ); document.write( "x-intercepts:
\n" ); document.write( "set y=0
\n" ); document.write( "x^2-4=0
\n" ); document.write( "(x+2)(x-2)=0
\n" ); document.write( "x=±2
\n" ); document.write( "domain: (-∞,∞)
\n" ); document.write( "range: [-4,∞)
\n" ); document.write( "see graph below:\r
\n" ); document.write( "\n" ); document.write( "\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2Cx%5E2-4%29+\"
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