• Moving from left to right, the curve passes from quadrant 3 to quadrant 2 to quadrant 1.
• The curve has 2 relative maximums and 2 relative minimums.
• The curve crosses the x axis at the point (negative 2 comma 0).
• The curve touches the x axis at the following points:
  
  • (1 comma 0)
  • (3 comma 0)

The graph of $y=g\left(x\right)$ is shown. If $g\left(x+28\right)=\frac{1}{10}{\left(x-a\right)}^2{\left(x-b\right)}^2\left(x-c\right)$, where $a$, $b$, and $c$ are constants, which of the following could be the value of $b$?