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SMO 2010 Senior Round 1 Question 8

SMO · SMO 2010 Senior Round 1

Question 8

If the graph of a quadratic function $f(x)=ax^2+bx+c$ $(a\ne0)$ passes through two distinct points $(r,k)$ and $(s,k)$, what is $f(r+s)$?
  1. $2k$
  2. $c$
  3. $k-c$
  4. $2k-c$
  5. None of the above