document.write( "Question 473477: find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function.
\n" ); document.write( "f(x)=3x^2-18x+24 \n" ); document.write( "

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find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function.
\n" ); document.write( "f(x)=3x^2-18x+24
\n" ); document.write( "**
\n" ); document.write( "f(x)=3x^2-18x+24
\n" ); document.write( "completing the square
\n" ); document.write( "f(x)=3(x^2-6x+9)+24-27
\n" ); document.write( "f(x)=3(x-3)^2-3
\n" ); document.write( "This is a parabola of the standard form: A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex. Positive leading coefficient means parabola open upwards, has a minimum.
\n" ); document.write( "For given parabola:
\n" ); document.write( "vertex: (3,-3)
\n" ); document.write( "line of symmetry: x=3
\n" ); document.write( "Minimum: -3
\n" ); document.write( "see graph below as a visual check on answers:
\n" ); document.write( "..
\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+3x%5E2-18x%2B24%29+\"$ \n" ); document.write( "

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