document.write( "Question 825024: Please find the standard form/vertex form, vertex, x-intercept and y-intercept, and graph of the function g(x)=3x^2-12x+13. Thank you! \n" ); document.write( "

Algebra.Com's Answer #496968 by TimothyLamb(4379) $\"\"$ $\"About$

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\n" ); document.write( "g(x) = 3x^2 - 12x + 13
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\n" ); document.write( "the above quadratic equation is in standard form, with a=3, b=-12, and c=13
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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 -12 13
\n" ); document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php
\n" ); document.write( "---
\n" ); document.write( "this quadratic has two complex roots, which are:
\n" ); document.write( "x = 2 + (0.577350269)i
\n" ); document.write( "x = 2 - (0.577350269)i
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\n" ); document.write( "the roots are NOT the x-intercepts, because this quadratic does not intersect the x-axis
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\n" ); document.write( "the quadratic vertex is a minimum at: ( x= 2, g= 1 )
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\n" ); document.write( "graph:
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\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-2%2C+4%2C+-2%2C+10%2C+3x%5E2+-+12x+%2B+13%29+\"$
\n" ); document.write( "---
\n" ); document.write( "Solve and graph linear equations:
\n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php
\n" ); document.write( "---
\n" ); document.write( "Solve quadratic equations, quadratic formula:
\n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php
\n" ); document.write( "---
\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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