
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 graph of the quadratic function $y = ax^2 + bx + c$ passes through the points $(-2, 1)$ and $(2, 3)$, and intersects the y-axis at point P. Determine the range of values for $a$ given that the y-coordinate of point P is a positive number less than 1.

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