document.write( "Question 1157403: f(x)=-3x^2+3x-2
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\n" ); document.write( "d. show algebraically how you know the function has no x-intercepts - it does x-intercepts of -1.457 and 0.457
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Algebra.Com's Answer #780264 by ikleyn(52756)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"graph%28+330%2C+330%2C+-3%2C+3%2C+-10%2C+4%2C%0D%0A++++++++++-3x%5E2%2B3x-2%0D%0A%29\"\r\n" );
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document.write( "Plot y = \"-3x%5E2%2B3x-2\"\r\n" );
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document.write( "(a)  Opens downward  (since the leading coefficient is negative).\r\n" );
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document.write( "(b)  Vertex  x = \"-3%2F%282%2A%28-3%29%29\" = 0.5.\r\n" );
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document.write( "             y = -3*0.5^2 + 3*(0.5) - 2 = -1.25.\r\n" );
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document.write( "(c)  axis of symmetry:  x = 0.5.\r\n" );
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document.write( "(d)  It is opened downward and has negative maximum  --- H E N C E, there is NO x-intercepts.\r\n" );
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document.write( "     It is clear LOGICALLY and VISUALLY, but if you want algebraic confirmation, calculate the DISCRIMINANT of the equation\r\n" );
document.write( "     to assure that it is NEGATIVE.\r\n" );
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document.write( "(e)  increases at (-oo,0.5).  Decreases at (0.5,oo).\r\n" );
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document.write( "As you see, my answers ALL are opposite to yours.\r\n" );
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document.write( "All answers in your post are INCORRECT.   (All means EACH and EVERY).\r\n" );
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