document.write( "Question 437529: Find the equation of the line of symmetry of the parabola defined by the equation?\r
\n" ); document.write( "\n" ); document.write( "y=5x^(2)-15x+8 \n" ); document.write( "

Algebra.Com's Answer #302683 by lwsshak3(11628) $\"\"$ $\"About$

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Find the equation of the line of symmetry of the parabola defined by the equation?
\n" ); document.write( "y=5x^(2)-15x+8
\n" ); document.write( "..
\n" ); document.write( "5x^(2)-15x+8
\n" ); document.write( "completing the square:
\n" ); document.write( "5(x^2-3x+9/4)+8-45/4
\n" ); document.write( "5(x-3/2)^2+32/4-45/4
\n" ); document.write( "5(x-3/2)^2+13/4
\n" ); document.write( "This is a parabola of the form: y=A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex. A is a multiplier which affects the slope or steepness of the curve. Curve opens upwards.
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\n" ); document.write( "\n" ); document.write( "In this case, the vertex is at (3/2,13/4).
\n" ); document.write( "Equation of line of symmetry: x=3/2
\n" ); document.write( "A=5
\n" ); document.write( "See graph of parabola below:
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\n" ); document.write( "\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-5%2C+5%2C+-2%2C10%2C+5%28x-3%2F2%29%5E2%2B13%2F4%29+\"$ \n" ); document.write( "

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