document.write( "Question 501396: find the vertex, line of symmetry, minimum or maximum value of the quadratic function and graph the function f(x)=-x^2+10x+3 \n" ); document.write( "

Algebra.Com's Answer #338585 by lwsshak3(11628) $\"\"$ $\"About$

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find the vertex, line of symmetry, minimum or maximum value of the quadratic function and graph the function f(x)=-x^2+10x+3
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\n" ); document.write( "f(x)=-x^2+10x+3
\n" ); document.write( "complete the square
\n" ); document.write( "y=-(x^2-10x+25)+3+25
\n" ); document.write( "y=-(x-5)^2+28
\n" ); document.write( "This is an equation for a parabola of standard form: y=A(x-h)^2+k, (h,k) being the (x,y) coordinates of the vertex.
\n" ); document.write( "For given function, y=-(x-5)^2+28:
\n" ); document.write( "vertex: (5, 28)
\n" ); document.write( "negative sign for lead coefficient means parabola opens downward, has a maximum of 28
\n" ); document.write( "axis of symmetry: x=5
\n" ); document.write( "see graph below as a visual check on answers:\r
\n" ); document.write( "\n" ); document.write( "..
\n" ); document.write( " $\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+30%2C-x%5E2%2B10x%2B3%29+\"$ \n" ); document.write( "

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