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1955 AMC 12 Question 28

AMC12 · 1955 AMC 12

Question 28

On the same set of axes are drawn the graph of $y=ax^2+bx+c$ and the graph of the equation obtained by replacing $x$ by $-x$ in the given equation. If $b\ne0$ and $c\ne0$ these two graphs intersect:
  1. in two points, one on the $x$-axis and one on the
    $y$-axis
  2. in one point located on neither axis
  3. only at the origin
  4. in one point on the $x$-axis
  5. in one point on the $y$-axis