document.write( "Question 674318: 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?? \n" );
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Algebra.Com's Answer #420589 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( "rewriting equations with standard notation: \n" ); document.write( "y = x^2 + 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( "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( "This is an equation of a parabola that opens upwards. Function has a minimum. \n" ); document.write( "Its standard form: y=A(x-h)^2+k, (h,k)=(x,y) coordinates of vertex) \n" ); document.write( "For given equation: 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 \n" ); document.write( ".. \n" ); document.write( "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,-1 \n" ); document.write( ".. \n" ); document.write( "For given equation:y = -2(x - 3)^2 + 9 \n" ); document.write( "This is an equation of a parabola that opens downwards. Function has a maximum. \n" ); document.write( "Its standard form: y=-A(x-h)^2+k, (h,k)=(x,y) coordinates of vertex) \n" ); document.write( "vertex: (3,9) \n" ); document.write( "axis of symmetry: x=3 \n" ); document.write( "maximum: 9 \n" ); document.write( ".. \n" ); document.write( "y-intercept \n" ); document.write( "set x=0 \n" ); document.write( "y=-2(-3)^2+9 \n" ); document.write( "y=-9 \n" ); document.write( ".. \n" ); document.write( "zeros: \n" ); document.write( "set y=0 \n" ); document.write( "-2(x-3)^2+9=0 \n" ); document.write( "(x-3)^2 =-9/-2=9/2 \n" ); document.write( "x-3=√9/√2=3/√2=3√2/2≈2.12 \n" ); document.write( "x=3±2.12 \n" ); document.write( "x=.88,5.12 \n" ); document.write( ".. \n" ); document.write( "For given equation:y = 3(x - 0.5)^2 \n" ); document.write( "This is an equation of a parabola that opens upwards. Function has a minimum. \n" ); document.write( "Its standard form: y=(x-h)^2+k, (h,k)=(x,y) coordinates of vertex) \n" ); document.write( "I will let you this one \n" ); document.write( " \n" ); document.write( " |