document.write( "Question 1044820: the minimum value of the function y=h(x) corresponds to the point (-3,2) on the x-y plane. What is the maximum value of g(x)=6-h(x+2)? \n" ); document.write( "

Algebra.Com's Answer #660247 by MathLover1(20850) $\"\"$ $\"About$

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given:
\n" ); document.write( "The minimum value of the function $\"y+=+h%28x%29\"$ corresponds to the point ( $\"-3\"$ , $\"2\"$ ) on the xy-plane. \r
\n" ); document.write( "\n" ); document.write( "find: What is the maximum value of $\"g%28x%29+=+6+-h%28x+%2B+2%29\"$ ?\r
\n" ); document.write( "\n" ); document.write( "solution:\r
\n" ); document.write( "\n" ); document.write( "The graph of the function $\"g%28x%29+=+6+-h%28x+%2B+2%29\"$ is the graph of $\"h%28x%29\"$ after
\n" ); document.write( "(1) a shift $\"2\"$ units to the left,
\n" ); document.write( "(2) a $\"reflection\"$ over the $\"x-axis\"$ , and
\n" ); document.write( "(3) a shift $\"6\"$ units up \r
\n" ); document.write( "\n" ); document.write( "If we perform these transformations on the point ( $\"-3\"$ , $\"2\"$ ), we get the point ( $\"-5\"$ , $\"4\"$ ), and so the $\"maximum+\"$ value of $\"g%28x%29\"$ is $\"4\"$ when $\"x+=-5\"$ .\r
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