document.write( "Question 879813: determine which of the following sttements are ture if parabola 1 has the equation y= x^2-4x-12 and parabola 2 has zeros at x=4 and x=-2?\r
\n" ); document.write( "\n" ); document.write( "does parabola 1 has a lower minimun then parabola 2?\r
\n" ); document.write( "\n" ); document.write( "does parabola 1 crosses the y-axis higher then parabola 2? \n" ); document.write( "
Algebra.Com's Answer #531066 by lwsshak3(11628)\"\" \"About 
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determine which of the following statements are true if parabola 1 has the equation y= x^2-4x-12 and parabola 2 has zeros at x=4 and x=-2?
\n" ); document.write( "does parabola 1 has a lower minimum then parabola 2? yes
\n" ); document.write( "does parabola 1 crosses the y-axis higher then parabola 2? no
\n" ); document.write( "***
\n" ); document.write( "parabola 1:
\n" ); document.write( "y= x^2-4x-12
\n" ); document.write( "complete the square:
\n" ); document.write( "y=(x^2-4x+4)-4-12
\n" ); document.write( "y=(x-2)^2-16
\n" ); document.write( "vertex: (2,-16)
\n" ); document.write( "minimum at -16
\n" ); document.write( "y-intercept:
\n" ); document.write( "set x=0
\n" ); document.write( "y=-12
\n" ); document.write( "..
\n" ); document.write( "parabola 2:
\n" ); document.write( "zeros at x=4 and x=-2
\n" ); document.write( "(x-4)(x+2)=x^2-2x-8
\n" ); document.write( "complete the square:
\n" ); document.write( "y=(x^2-2x+1)-1-8
\n" ); document.write( "y=(x-1)^2-9
\n" ); document.write( "vertex: (1,-9)
\n" ); document.write( "minimum at -9
\n" ); document.write( "y-intercept:
\n" ); document.write( "set x=0
\n" ); document.write( "y=-8
\n" ); document.write( "..
\n" ); document.write( "see graph below as a visual check on the answers:
\n" ); document.write( "parabola 1:red curve
\n" ); document.write( "parabola 2:green curve
\n" ); document.write( "\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-20%2C+10%2C+x%5E2-4x-12%2Cx%5E2-2x-8%29+\"
\n" ); document.write( " \n" ); document.write( "
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