document.write( "Question 717624: What is the maximum value of f(x) = 3- (x+2)^2 \n" ); document.write( "

Algebra.Com's Answer #440362 by Edwin McCravy(20063) $\"\"$ $\"About$

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f(x) = 3- (x+2)^2
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document.write( "We write it in vertex form\r\n" );
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document.write( "f(x) = a(x-h)² + k\r\n" );
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document.write( "f(x) = -1(x+2)² + 3\r\n" );
document.write( "So -h = +2, so h = -2\r\n" );
document.write( "and k = 3.\r\n" );
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document.write( "The vertex is the point (h,k) = (-2,3) which is a maximum POINT\r\n" );
document.write( "if a is negative and a minimum POINT if a is positive.  Since\r\n" );
document.write( "a = -1, then (-2,3) is a maximum POINT.  But you wanted the maximum\r\n" );
document.write( "VALUE, not the maximum POINT.  The maximum VALUE is just the\r\n" );
document.write( "y-coordinate of the maximum POINT, which is 3.\r\n" );
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document.write( "Here is the graph. Notice that it just reaches up as high as 3\r\n" );
document.write( "on the y-axis.\r\n" );
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document.write( "Edwin

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