document.write( "Question 528917: Please help me!\r
\n" ); document.write( "\n" ); document.write( "I need to graph this and I have no idea how to do it.
\n" ); document.write( "x^2 -x-5 = 0 I need at least 4 points,\r
\n" ); document.write( "\n" ); document.write( "Thank you so much! \n" ); document.write( "
Algebra.Com's Answer #349792 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
I need to graph this and I have no idea how to do it.
\n" ); document.write( "x^2 -x-5 = 0 I need at least 4 points,
\n" ); document.write( "**
\n" ); document.write( "Like all 2nd degree equations, curve will be that of a parabola.
\n" ); document.write( "Rewrite equation:
\n" ); document.write( "y=x^2-x-5
\n" ); document.write( "y-intercept:
\n" ); document.write( "set x=0, then solve for y
\n" ); document.write( "y=-5
\n" ); document.write( "..
\n" ); document.write( "complete the square
\n" ); document.write( "y=(x^2-x+.25)-5-.25
\n" ); document.write( "y=(x-.5)^2-5.25
\n" ); document.write( "This is an equation for a parabola of the standard form: y=(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex.
\n" ); document.write( "vertex(0.5,-5.25)
\n" ); document.write( "..
\n" ); document.write( "x-intercepts
\n" ); document.write( "set y=0
\n" ); document.write( "(x-.5)^2-5.25=0
\n" ); document.write( "(x-.5)^2=5.25
\n" ); document.write( "take sqrt of both sides
\n" ); document.write( "x-.5=±√(5.25)≈±2.3
\n" ); document.write( "x≈.5±2.3
\n" ); document.write( "x≈2.8
\n" ); document.write( "or
\n" ); document.write( "x≈-1.8
\n" ); document.write( "You now have the following 4 points with which you can graph the given function:
\n" ); document.write( "(0,-5) y-intercept
\n" ); document.write( "(0.5,-5.25) vertex
\n" ); document.write( "(2.8,0) x-intercept
\n" ); document.write( "(-1.8,0) x-intercept \n" ); document.write( "
\n" );