Answer: a. Shift to the left, causing the prices of carrots to rise
Explanation:
The bad weather destroyed the annual crop of carrots. This will reduce the supply for Carrots. A reduction in supply forces the Supply Curve to shift to the left and assuming the demand curve remains the same, the new supply curve will intersect the demand curve a higher equilibrium price.
This is done to obey the Rules of Supply that when a good is scarce, it is more expensive.
Notice how the supply curve shifted left in the diagram and prices rose.