document.write( "Question 183003: I am having trouble finding the vertex of parabolas. I need to find the axes, roots, and the vertices of the 3 following questions. Can you please show it to me in the completing the square method.
\n" ); document.write( "The questions are
\n" ); document.write( "y=2x^2-x+6
\n" ); document.write( "y=x^2-8x+2
\n" ); document.write( "y=4x^2-x+1
\n" ); document.write( "Thanks in advance. \n" ); document.write( "
Algebra.Com's Answer #137379 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
I need to find the axes, roots, and the vertices of the 3 following questions. Can you please show it to me in the completing the square method.
\n" ); document.write( "The questions are
\n" ); document.write( "y=2x^2-x+6
\n" ); document.write( "2x^2 - x + ? = y-6+?
\n" ); document.write( "2(x^2 - (1/2)x + (1/4)^2 = y - 6 + 2(1/4)^2
\n" ); document.write( "2(x- (1/4))^2 = y - (48/8) + (1/8)
\n" ); document.write( "2(x-(1/4)^2 = y - (47/8)
\n" ); document.write( "(x - (1/4)^2 = (1/2)(y -(47/8))
\n" ); document.write( "------------------------------------
\n" ); document.write( "Vertex: (1/4 , (-47/8))
\n" ); document.write( "vertical axis: x = 1/4
\n" ); document.write( "Roots: No Real roots
\n" ); document.write( "Use Quadratic formula to find the complex roots.
\n" ); document.write( "-----------------------------------\r
\n" ); document.write( "\n" ); document.write( "y=x^2-8x+2
\n" ); document.write( "x^2 - 8x = y-2
\n" ); document.write( "x^2 - 8x + 16 = y -2 + 16
\n" ); document.write( "(x-4)^2 = y + 14
\n" ); document.write( "----------------------
\n" ); document.write( "Vertex: (4 , -14)
\n" ); document.write( "vertecal axis: x = 4
\n" ); document.write( "Roots: Use the quadratic formula.
\n" ); document.write( "---------------------------\r
\n" ); document.write( "\n" ); document.write( "y=4x^2-x+1
\n" ); document.write( "4x^2 - x = y - 1
\n" ); document.write( "4(x^2 - (1/4)x + (1/8)^2) = y - 1 + 4*(1/8)^2
\n" ); document.write( "4(x - (1/8))^2 = y - 15/16
\n" ); document.write( "(x-(1/8))^2 = (1/4)(y - 15/16)
\n" ); document.write( "----
\n" ); document.write( "Vertex: (1/8 , 15/16)
\n" ); document.write( "vertical axis: x = 1/8
\n" ); document.write( "Roots: Use the Quadratic formula
\n" ); document.write( "=====================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( " \n" ); document.write( "
\n" );