document.write( "Question 868294: Determine the quadratic function f whose graph is given.
\n" ); document.write( "The vertex is (4,-3) and the other point is (3,-1)
\n" ); document.write( "f(x)=a(x-h)^2+k
\n" ); document.write( "write answer in form: ax^2+bx+c
\n" ); document.write( "Answer= 2x^2-16x+29
\n" ); document.write( "Can someone break this down for me, especially how to get the 29.
\n" ); document.write( "Thank you.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #523460 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!


\n" );
document.write( "Hi
\n" );
document.write( "f(x)=a(x-h)^2+k   V(4,-3)
\n" );
document.write( "f(x) = a(x-4)^2 -3   Using (3,-1) to solve for a
\n" );
document.write( "-1 = a - 3
\n" );
document.write( "2 = a
\n" );
document.write( "f(x) = 2(x-4)^2 -3 
\n" );
document.write( "     = 2(x^2 - 8x + 16) - 3 
\n" );
document.write( "     = 2x^2 - 16x + 32 - 3
\n" );
document.write( "f(x) = 2x^2 - 16x + 29 \n" );
document.write( "

\n" );