document.write( "Question 58788: how do you find the equation of the quadratic function. it has a graph with x-intercepts 2 and -1 and y-intercepts 6 \n" ); document.write( "
Algebra.Com's Answer #40317 by funmath(2933)\"\" \"About 
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how do you find the equation of the quadratic function. it has a graph with x-intercepts 2 and -1 and y-intercepts 6
\n" ); document.write( "y=a(x-m)(x-n) where m and n are the x-intercepts.
\n" ); document.write( "y=a(x-2)(x-(-1)) Plug in the x-intercepts.
\n" ); document.write( "y=a(x-2)(x+1) The y-intercept is (0,6), let x=0 and y=6 and solve for a
\n" ); document.write( "6=a(0-2)(0+1)
\n" ); document.write( "6=a(-2)(1)
\n" ); document.write( "6=-2a
\n" ); document.write( "6/-2=-2a/-2
\n" ); document.write( "-3=a
\n" ); document.write( "Here's the equation that you're looking for:
\n" ); document.write( "y=-3(x-2)(x+1) <--most teachers are happy here, but if you have to multiply it out:
\n" ); document.write( "y=-3(x^2+x-2x-2)
\n" ); document.write( "y=-3(x^2-x-2)
\n" ); document.write( "y=-3x^2+3x+6
\n" ); document.write( ":
\n" ); document.write( " Happy Calculating!!! \n" ); document.write( "
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