document.write( "Question 533431: I need help solving this the vertex of the graph of this function:
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document.write( "f(x)=-4x^2+24x-40\r
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document.write( "I also need the axis of the graph of function for:
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document.write( "f(x)=4x^2-32x+27\r
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document.write( "As well as the quadratic function in vertex form of:
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document.write( "y=x^2+8x\r
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document.write( "Thanks for any help \n" );
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Algebra.Com's Answer #351145 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Standard form of equation for a parabola: y=A(x-h)^2+k, (h,k) being the (x,y) coordinates of the vertex \n" ); document.write( ".. \n" ); document.write( "I need help solving this the vertex of the graph of this function: \n" ); document.write( "f(x)=-4x^2+24x-40 \n" ); document.write( "complete the square: \n" ); document.write( "y=-4(x^2-6x+9)-40+36 \n" ); document.write( "y=-4(x-3)^2-4 \n" ); document.write( "vertex: (3,-4) \n" ); document.write( ".. \n" ); document.write( "I also need the axis of the graph of function for: \n" ); document.write( "f(x)=4x^2-32x+27 \n" ); document.write( "complete the square \n" ); document.write( "y=4(x^2-8x+16)+27-64 \n" ); document.write( "y=4(x-4)^2-37 \n" ); document.write( "vertex: (4,-37) \n" ); document.write( "axis of symmetry: x=4 (parabola opens upwards) \n" ); document.write( ".. \n" ); document.write( "As well as the quadratic function in vertex form of: \n" ); document.write( "y=x^2+8x \n" ); document.write( "complete the square \n" ); document.write( "y=(x^2+8x+16)-16 \n" ); document.write( "y=(x+4)^2-16 \n" ); document.write( "vertex: (-4,-16) \n" ); document.write( " |