If $a, b, c$ are positive real numbers in geometric progression, then the graph of $y=a x^2+b x+c$ is a curve that

• A

  intersects the $x$-axis at two points.
• B

  is entirely below the $x$-axis.
• Correct answer
  C

  is entirely above the $x$-axis.
• D

  is tangent to the $x$-axis.

Hence, the correct answer is option: 'C'.