document.write( "Question 1073022: Given the function y=4x-x^2\r
\n" ); document.write( "\n" ); document.write( "1.determine of the vertex function.
\n" ); document.write( "2.determine the intercepts of the function. \n" ); document.write( "

Algebra.Com's Answer #687846 by Fombitz(32388) $\"\"$ $\"About$

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Complete the square to get the function into vertex form,
\n" ); document.write( " $\"y=-x%5E2%2B4x\"$
\n" ); document.write( " $\"y=-%28x%5E2-4x%29\"$
\n" ); document.write( " $\"y=-%28x%5E2-4x%2B4%29%2B4\"$
\n" ); document.write( " $\"y=-%28x-2%29%5E2%2B4\"$
\n" ); document.write( "So the vertex is,
\n" ); document.write( "(2,4)
\n" ); document.write( "So then using the vertex form,
\n" ); document.write( " $\"-%28x-2%29%5E2%2B4=0\"$
\n" ); document.write( " $\"%28x-2%29%5E2=4\"$
\n" ); document.write( " $\"x-2=0+%2B-+2\"$
\n" ); document.write( " $\"x=2+%2B-+2\"$
\n" ); document.write( " $\"x=4\"$ and $\"x=0\"$
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