document.write( "Question 808919: Identify the vertex, axis of symmetry, maximum or minimum, and domain and range of the functions
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document.write( "f(x)=x^2+6x+5
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document.write( "f(x)=4(x+2)^2-6
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document.write( "How do you do this?
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Algebra.Com's Answer #487331 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Identify the vertex, axis of symmetry, maximum or minimum, and domain and range of the functions. \n" ); document.write( "*** \n" ); document.write( "f(x)=x^2+6x+5 \n" ); document.write( "complete the square: \n" ); document.write( "y=(x^2+6x+9)-9+5 \n" ); document.write( "y=(x+3)^2-4 \n" ); document.write( "This is a parabola that opens upward. \n" ); document.write( "Its vertex form of equation:y=A(x-h)^2+k, (h,k)=(x,y) cooordinates of the vertex. \n" ); document.write( "For given parabola:y=(x+3)^2-4 \n" ); document.write( "A=1 \n" ); document.write( "vertex:(-3,-4) \n" ); document.write( "axis of symmetry: x=-3 \n" ); document.write( "Minimum:y=-4 \n" ); document.write( "Domain: (-∞,∞) \n" ); document.write( "Range:[-4,∞) \n" ); document.write( ".. \n" ); document.write( "f(x)=4(x+2)^2-6 \n" ); document.write( "This is a parabola that also opens upward and has the same vertex form of equation. \n" ); document.write( "A=4 \n" ); document.write( "vertex:(-2,-6) \n" ); document.write( "axis of symmetry: x=-2 \n" ); document.write( "Minimum:y=-6 \n" ); document.write( "Domain: (-∞,∞) \n" ); document.write( "Range:[-6,∞) \n" ); document.write( " |