document.write( "Question 470787: Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function\r
\n" ); document.write( "\n" ); document.write( "f(x)=4x^2-40x+102 \n" ); document.write( "

Algebra.Com's Answer #323080 by lwsshak3(11628) $\"\"$ $\"About$

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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)=4x^2-40x+102
\n" ); document.write( "**
\n" ); document.write( "f(x)=4x^2-40x+102
\n" ); document.write( "Completing the square
\n" ); document.write( "f(x)=4(x^2-10x+25)+102-100
\n" ); document.write( "f(x)=4(x-5)^2+2
\n" ); document.write( "This is a parabola with a vertical axis of symmetry. Opens upward. Standard form:
\n" ); document.write( "y=(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex.
\n" ); document.write( "For given parabola:
\n" ); document.write( "vertex: (5, 2)
\n" ); document.write( "minimum value=2 at x=5
\n" ); document.write( "see graph below as a visual check on answers:\r
\n" ); document.write( "\n" ); document.write( "..
\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-5%2C+10%2C+-10%2C+10%2C4x%5E2-40x%2B102%29+\"$ \n" ); document.write( "

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