document.write( "Question 674319: For each equation, identify the equation of the axis of symmetry, the coordinates of the vertex, the y-intercept, the zeros, and the maximum or minimum values.\r
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document.write( "y = x2 + 4x + 3
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document.write( "y = -2(x - 3)2 + 9
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document.write( "y = 3(x - 0.5)2\r
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document.write( "Help please? \n" );
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Algebra.Com's Answer #419316 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! For each equation, identify the equation of the axis of symmetry, the coordinates of the vertex, the y-intercept, the zeros, and the maximum or minimum values. \n" ); document.write( "y = x2 + 4x + 3 \n" ); document.write( "y = -2(x - 3)2 + 9 \n" ); document.write( "y = 3(x - 0.5)2 \n" ); document.write( "** \n" ); document.write( "All 3 given equations are parabolas and take the standard form: y=A(x-h)^2+k, (h,k)=(x,y) coordinates of the vertex. A is a coefficient that affects the width of the curve. If A>0, parabola opens upwards and parabola has a minimum. If A<0, parabola opens downwards and parabola has a maximum. \n" ); document.write( ".. \n" ); document.write( "y = x^2 + 4x + 3 \n" ); document.write( "complete the square \n" ); document.write( "y = (x^2+4x+4)+3-4 \n" ); document.write( "y = (x+2)^2-1 \n" ); document.write( "vertex: (-2,-1) \n" ); document.write( "axis of symmetry: x=-2 \n" ); document.write( "minimum: -1 \n" ); document.write( ".. \n" ); document.write( "y-intercept \n" ); document.write( "set x=0 \n" ); document.write( "y=3 (from original equation) \n" ); document.write( ".. \n" ); document.write( "x-intercepts (zeros) \n" ); document.write( "set y=0 \n" ); document.write( "(x+2)^2-1=0 \n" ); document.write( "(x+2)^2=1 \n" ); document.write( "x+2=±√1=±1 \n" ); document.write( "x=-2±1 \n" ); document.write( "x=-3 and -1 \n" ); document.write( ".. \n" ); document.write( "I will let you do the remaining 2 equations\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |