document.write( "Question 606858: Consider a quadratic function that has a minimum value of -6, and x-intercepts at (-6,0) and (0,0).
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document.write( "A)Determine the equation of the quadratic function. Show or explain your work.\r
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document.write( "....please help me! I really want to understand how to do this. I'm not sure how and what the answer would be. \n" );
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Algebra.Com's Answer #382289 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Consider a quadratic function that has a minimum value of -6, and x-intercepts at (-6,0) and (0,0) \n" ); document.write( "--------- \n" ); document.write( "Plot the x-intercepts \n" ); document.write( "Since the minimum y-value is -6 \n" ); document.write( "the vertex must be at (-3,-6) \n" ); document.write( "============================= \n" ); document.write( "y = a(x-0)(x-(-6)) \n" ); document.write( "Solve for \"a\": \n" ); document.write( "-6 = a(-3)(-3+6) \n" ); document.write( "---- \n" ); document.write( "-6 = a(-3)(3) \n" ); document.write( "a = 6/9 = 2/3 \n" ); document.write( "---- \n" ); document.write( "y = (2/3)x(x+6) \n" ); document.write( "----- \n" ); document.write( "y = (2/3)(x^2+6x) \n" ); document.write( "- \n" ); document.write( "y = (2/3)x^2 + 4x \n" ); document.write( "======================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "========================\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |