document.write( "Question 1125443: The gradient of the curve y = ax to the power 2 is equal to - 4 at the point where x=2. The value of a is......? \n" ); document.write( "
Algebra.Com's Answer #741771 by Theo(13342)\"\" \"About 
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the equation is y = ax^2.\r
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\n" ); document.write( "\n" ); document.write( "when x = 2, y is equal to -4.\r
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\n" ); document.write( "\n" ); document.write( "therefore -4 = a * 2^2 which becomes -4 = a * 4.\r
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\n" ); document.write( "\n" ); document.write( "solve for a to get a = -4 / 4 = -1.\r
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\n" ); document.write( "\n" ); document.write( "the equation becomes y = -1 * x^2 which is written as y = -x^2.\r
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\n" ); document.write( "\n" ); document.write( "here's the graph.\r
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\n" ); document.write( "\n" ); document.write( "the blue line is the graph of the equation.\r
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\n" ); document.write( "\n" ); document.write( "the orange line is used to show the intersection of the graph with x = 2.\r
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\n" ); document.write( "\n" ); document.write( "the intersection is the point (2,-4).\r
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\n" ); document.write( "\n" ); document.write( "this says that the value of y is equal to -4 when the value of x is equal to 2.\r
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