document.write( "Question 1105122: Find the quadratic function y=a(x-h)^2 whose graph passes through the given points
\n" ); document.write( "(8,-4), (4,0) \n" ); document.write( "

Algebra.Com's Answer #719856 by KMST(5328) $\"\"$ $\"About$

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If the graph passes through (4,0), then
\n" ); document.write( " $\"0=a%284-h%29%5E2\"$ , so either $\"h=4\"$ or $\"a=0\"$ .
\n" ); document.write( "However, if that function is really a quadratic it must be true that
\n" ); document.write( " $\"a%3C%3E0\"$ .
\n" ); document.write( "Otherwise, the function would just be $\"y=0\"$ .
\n" ); document.write( "So , $\"highlight%28h=4%29\"$ .
\n" ); document.write( "Substituting that value, and the coordinates of (8,-4), we get
\n" ); document.write( " $\"-4=a%288-4%29%5E2\"$
\n" ); document.write( " $\"-4=a%2A4%5E2\"$
\n" ); document.write( " $\"-4=16a\"$
\n" ); document.write( " $\"a=16%2F%28-4%29\"$
\n" ); document.write( " $\"highlight%28a=-1%2F4%29\"$
\n" ); document.write( "Three quadratic function is
\n" ); document.write( " $\"highlight%28y=%28-1%2F4%29%28x-4%29%5E2%29\"$ or $\"highlight%28y=-%28x-4%29%5E2%2F4%29\"$ .\r
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