
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
The following shows the graph of \( y = ax^2 + bx + c \).

1. Find \( c \).
2. Find \( a \).
3. Find \( b \).
4. If \( y = x + d \) is tangent to \( y = ax^2 + bx + c \), find \( d \).

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