document.write( "Question 418953: I was absent and my friends notes are off so I'm really confused. Your help would be greatly appreciated. Here are my instructions : Write the equation of the axis of symmetry, and find the coordinates of the vertex of the graph of each function. Idetify the vertex as a maximum or minimum. Then graph the function. The first ones are REALLY HARD. However, I'll give an easy one so I can see it all done so I can figure out the hard ones. The problem is :
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document.write( "y = 3x^2 - 6x + 4 . We are graphing quadratic functions. Thanks so much! \n" );
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Algebra.Com's Answer #293067 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Write the equation of the axis of symmetry, and find the coordinates of the vertex of the graph of each function. Idetify the vertex as a maximum or minimum. Then graph the function. The first ones are REALLY HARD. However, I'll give an easy one so I can see it all done so I can figure out the hard ones. The problem is : \n" ); document.write( "y = 3x^2 - 6x + 4 \n" ); document.write( "---- \n" ); document.write( "Since 3 is positive the parabola opens up. \n" ); document.write( "It therefore has a minimum point. \n" ); document.write( "That point occurs when x = -b/2a = 6/(2*3) = 1 \n" ); document.write( "--- \n" ); document.write( "The corresponding y-value is f(1) = 3-6+4 = 1 \n" ); document.write( "- \n" ); document.write( "So the vertex is (1,1) \n" ); document.write( "---- \n" ); document.write( "The axis of symmetry is a vertical line thru the vertex. \n" ); document.write( "Its equation is x = 1. \n" ); document.write( "--- \n" ); document.write( "========================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |