document.write( "Question 821955: f(x) = -3x^2+2x-1\r
\n" ); document.write( "\n" ); document.write( "Fine the vertex and axis of symmetry. \n" ); document.write( "
Algebra.Com's Answer #494508 by TimothyLamb(4379)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "f(x) = -3x^2 + 2x - 1
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\n" ); document.write( "the above quadratic equation is in standard form, with a=-3, b=2, and c=-1
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\n" ); document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this:
\n" ); document.write( "-3 2 -1
\n" ); document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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\n" ); document.write( "the quadratic has two complex roots at:
\n" ); document.write( "x = 0.333333333 + (-0.471404521)i
\n" ); document.write( "x = 0.333333333 - (-0.471404521)i
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\n" ); document.write( "the quadratic vertex is a maximum at: ( 0.333333333, -0.666666667 )
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\n" ); document.write( "NOTE ON CALCULATING THE QUADRATIC VERTEX:
\n" ); document.write( "vertex-x = -b/(2a) = -2/(2(-3)) = 2/6 = 0.333333333
\n" ); document.write( "vertex-y = -D/(4a), where D= bb - 4ac
\n" ); document.write( "vertex-y = -(bb - 4ac)/(4a)
\n" ); document.write( "vertex-y = -(4 - 4(-3)(-1))/(4(-3))
\n" ); document.write( "vertex-y = -(4 - 12)/(-12)
\n" ); document.write( "vertex-y = -(-8)/(-12)
\n" ); document.write( "vertex-y = -0.666666667
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\n" ); document.write( "the axis of symmetry is: x = 0.333333333
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\n" ); document.write( "NOTE ON CALCULATING THE AXIS OF SYMMETRY:
\n" ); document.write( "axis of symmetry is a vertical line at: x = -b/(2a) = -2/(2(-3)) = 2/6 = 0.333333333
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\n" ); document.write( "as you can see, the algebra matches the solver's results perfectly
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\n" ); document.write( "Solve and graph linear equations:
\n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php
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\n" ); document.write( "Solve quadratic equations, quadratic formula:
\n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php
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\n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables:
\n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( "
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