document.write( "Question 1158809: Find the exponential equation whose graph passes through the points (-1, 1/2 ) and (2,32) \n" ); document.write( "
Algebra.Com's Answer #781834 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "The general form is \"y+=+ab%5Ex\"

\n" ); document.write( "Form equations using both given points:
\n" ); document.write( "\"1%2F2+=+ab%5E%28-1%29\"
\n" ); document.write( "\"32+=+ab%5E2\"

\n" ); document.write( "Divide the second equation by the first to eliminate a:
\n" ); document.write( "\"64+=+b%5E3\"
\n" ); document.write( "\"b+=+4\"

\n" ); document.write( "Use this b value in either original equation to determine a:
\n" ); document.write( "\"32+=+a%284%5E2%29\"
\n" ); document.write( "\"32+=+16a\"
\n" ); document.write( "\"a+=+2\"

\n" ); document.write( "a=2; b=4. The equation is

\n" ); document.write( "\"y+=+2%284%5Ex%29\"

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