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1951 AMC 12 Question 16

AMC12 · 1951 AMC 12

Question 16

If in applying the quadratic formula to a quadratic equation $$
f(x)=ax^2+bx+c=0,
$$ it happens that $c=\dfrac{b^2}{4a},$ then the graph of $y=f(x)$ will certainly:
  1. Have a maximum
  2. Have a minimum
  3. Be tangent to the $x$-axis
  4. Be tangent to the $y$-axis
  5. Lie in one quadrant only