document.write( "Question 55091: Please help Graph- f(x)=x^2-3 \n" ); document.write( "
Algebra.Com's Answer #37326 by funmath(2933)\"\" \"About 
You can put this solution on YOUR website!
Graph- \"f%28x%29=x%5E2-3\"
\n" ); document.write( "This is a parabola in standard form: \"highlight%28f%28x%29=ax%5E2%2Bbx%2Bc%29%29\".
\n" ); document.write( "We can find the axis of symmetry by this formula: \"highlight%28x=-b%2F2a%29\"
\n" ); document.write( "Our a=1, b=0, c=-3
\n" ); document.write( "The axis of symmetry: \"x=-%280%29%2F2%281%29\" x=0 (Note this is the x value of the vertex.)
\n" ); document.write( "We use the axis of symmetry to intelligently pick points to plot:
\n" ); document.write( "Plot (-1,f(-1)), (0,f(0)), and (1,f(1))
\n" ); document.write( "Let x=-1: f(-1)=(-1)^2-3=1-3=-2. Plot (-1,-2)
\n" ); document.write( "Let x=0: f(0)=(0)^2-3=0-3=-3. Plot (0,-3) (vertex)
\n" ); document.write( "Let x=1: f(1)=(1)^2-3=1-3=-2. Plot (1,-2)
\n" ); document.write( "Connect the dots and you get:
\n" ); document.write( "\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cx%5E2-3%29\"
\n" ); document.write( "Happy Calculating!!!
\n" ); document.write( " \n" ); document.write( "
\n" );