document.write( "Question 172691: use the given values to find an equation of the form f(x)= ax^2 + bx + c\r
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document.write( "1. f(0)= 5, f(1)=10, f(2)= 19 \r
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document.write( "Please explain step by step so I understand!\r
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document.write( "I would really appreciate any help!\r
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document.write( "Thank you very much \n" );
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Algebra.Com's Answer #127541 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! f(x)= ax^2 + bx + c \n" ); document.write( "f(0)= 5 \n" ); document.write( "f(0)=a*0^2+b*0+c=5 \n" ); document.write( "f(0)=0+0+c=5 \n" ); document.write( "f(0)c=5 ans. \n" ); document.write( "f(1)=10 \n" ); document.write( "f(1)=a*1^2+b*1+5 \n" ); document.write( "f(1)a+b+5=10 multiply this equation by -2 & add. \n" ); document.write( "f(2)= 19 \n" ); document.write( "f(2)=a*2^2+b*2+5 \n" ); document.write( "f(2)4a+2b+5=19 \n" ); document.write( "------------------------------ \n" ); document.write( "-2a-2b-10=-20 \n" ); document.write( "4a+2b+5=19 add. \n" ); document.write( "----------------- \n" ); document.write( "2a-5=-1 \n" ); document.write( "2a=-1+5 \n" ); document.write( "2a=4 \n" ); document.write( "a=4/2 \n" ); document.write( "a=2 ans. \n" ); document.write( "2+b+5=10 \n" ); document.write( "b=10-5-2 \n" ); document.write( "b=3 ans. \n" ); document.write( "Proof: \n" ); document.write( "4*2+2*3+5=19 \n" ); document.write( "8+6+5=19 \n" ); document.write( "19=19 \n" ); document.write( " |