document.write( "Question 499336: how do i sketch f(x)=x squared - 5x-6
\n" ); document.write( "how do i give an equation for the line of symmetry of the graph. how do i estimate the cordinates if the lowest point on the graph \n" ); document.write( "

Algebra.Com's Answer #337585 by oberobic(2304) $\"\"$ $\"About$

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Factor
\n" ); document.write( "(x-6)(x+1) = x^2 +x -6x = 6
\n" ); document.write( " = x^2 -5x -6
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\n" ); document.write( "x = 6 or x = -1
\n" ); document.write( "These are the x-intercepts: (0,-1), (0,6).
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\n" ); document.write( "The y-intercept occurs where x=0.
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\n" ); document.write( "y = x^2 -5x -6
\n" ); document.write( "So when x=0, y =-6
\n" ); document.write( "(0,-6)
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\n" ); document.write( "The axis of symmetry = -b/2a
\n" ); document.write( "-b/2a = -(-5)/2 = 2.5
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\n" ); document.write( "The line of symmetry will go through the lowest point.
\n" ); document.write( "y = (2.5)^2 -5(2.5) -6
\n" ); document.write( "y = 6.25 -12.5 -6
\n" ); document.write( "y = -12.25
\n" ); document.write( "The lowest point will be (2.5, -12.25).
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\n" ); document.write( " $\"graph%28500%2C500%2C-10%2C10%2C-20%2C20%2Cx%2Ax-5%2Ax-6%29\"$
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