document.write( "Question 883723: i need help solving this please... i have tried everything i think of but i am stuck the question is: write an exponential function whose graph passes through the points (0,-3) and (4,-48). thanks so much your help is very much appreciated. \n" ); document.write( "
Algebra.Com's Answer #533710 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! First plug in (x,y) = (0,-3)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = a*b^x \n" ); document.write( "-3 = a*b^0 \n" ); document.write( "-3 = a*1 \n" ); document.write( "-3 = a \n" ); document.write( "a = -3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now plug in a = -3, and (x,y) = (4,-48)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = a*b^x \n" ); document.write( "y = -3*b^x \n" ); document.write( "-48 = -3*b^4 \n" ); document.write( "-48/(-3) = b^4 \n" ); document.write( "16 = b^4 \n" ); document.write( "b^4 = 16 \n" ); document.write( "b = 16^(1/4) \n" ); document.write( "b = 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So a = -3, b = 2 giving us this\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = a*b^x \n" ); document.write( "y = -3*2^x\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the final answer is |