
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
If $y = ax^2 + bx + c$, and if the least possible value of $y$ is $d$, then $c$ is equal to:
**A)** $d - \frac{b^2}{4a}$  
**B)** $d + \frac{b^2}{2a}$  
**C)** $d + \frac{b^2}{4a}$  
**D)** $d + \frac{b^2}{8a}$

Present the answer in LaTex format: \boxed{Your answer}
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