document.write( "Question 528925: I need to graph this and I don't know how. X^2 + 100 = 27x I need at least four points. \r
\n" ); document.write( "\n" ); document.write( "thank you for your help!
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Algebra.Com's Answer #349594 by lwsshak3(11628)\"\" \"About 
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I need to graph this and I don't know how. X^2 + 100 = 27x I need at least four points.
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\n" ); document.write( "rewrite equation:
\n" ); document.write( "y=x^2-27x+100
\n" ); document.write( "complete the square:
\n" ); document.write( "y=(x^2-27x+182.25)+100-182.25
\n" ); document.write( "y=(x-13.5)^2-82.25)
\n" ); document.write( "This is an equation of 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( "For given equation:
\n" ); document.write( "vertex: (13.5,-82.25)
\n" ); document.write( "so, now you have one point for a graph
\n" ); document.write( "..
\n" ); document.write( "Finding x-intercepts:
\n" ); document.write( "set y=0
\n" ); document.write( "(x-13.5)^2-82.25=0
\n" ); document.write( "(x-13.5)^2=82.25
\n" ); document.write( "take sqrt of both sides
\n" ); document.write( "x-13.5=±√(82.25)≈±9.069
\n" ); document.write( "x≈13.5±9.069
\n" ); document.write( "x≈22.57
\n" ); document.write( "or
\n" ); document.write( "x≈4.43
\n" ); document.write( "You have the following 3 points with which you can draw the graph:
\n" ); document.write( "(13.5,-82.25) (vertex)
\n" ); document.write( "(22.57,0) x-intercept
\n" ); document.write( "(4.43,0) x-intercept
\n" ); document.write( "You should be able to draw a good graph with these three points, but if you need more, plug in convenient x-values into the first equation listed above.
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