document.write( "Question 65114: graph f(x)=xsquared-1 \n" ); document.write( "
Algebra.Com's Answer #45700 by funmath(2933)\"\" \"About 
You can put this solution on YOUR website!
graph f(x)=xsquared-1
\n" ); document.write( "If you're supposed to use transformations to graph this, it is the graph of \"f%28x%29=x%5E2\" shifted down one unit.
\n" ); document.write( "If you've never heard of that before, this is a parabola. We can plot a few points to find it.
\n" ); document.write( "The y-intercept is where x=0.
\n" ); document.write( "\"f%280%29=%280%29%5E2-1\"
\n" ); document.write( "\"f%280%29=-1\"
\n" ); document.write( "Plot (0,-1)
\n" ); document.write( "The x intercept is where y=0
\n" ); document.write( "\"0=x%5E2-1\"
\n" ); document.write( "\"0=%28x%2B1%29%28x-1%29\"
\n" ); document.write( "x+1=0 and x-1=0
\n" ); document.write( "x+1-1=0-1 and x-1+1=0+1
\n" ); document.write( "x=-1 and x=1
\n" ); document.write( "Plot (-1,0) and (1,0)
\n" ); document.write( "The vertex is the turning point of the parabola, if you have x-intercepts, it's x-coordinate is half-way between the two intercepts.
\n" ); document.write( "x=\"%28-1%2B1%29%2F2=0\" we already have that point in the y-intercept, but that's not always going to happen.
\n" ); document.write( "This is what your graph ends up looking like:
\n" ); document.write( "\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cx%5E2-1%29\"
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "
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