document.write( "Question 172691: use the given values to find an equation of the form f(x)= ax^2 + bx + c\r
\n" ); document.write( "\n" ); document.write( "1. f(0)= 5, f(1)=10, f(2)= 19 \r
\n" ); document.write( "\n" ); document.write( "Please explain step by step so I understand!\r
\n" ); document.write( "\n" ); document.write( "I would really appreciate any help!\r
\n" ); document.write( "\n" ); document.write( "Thank you very much
\n" ); document.write( "

Algebra.Com's Answer #127541 by checkley77(12844)\"\" \"About 
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( "
\n" );