
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 full score of this question is 8 points) It is known that the graph of a quadratic function passes through the point (-1, -8) and has a vertex at (2, 1).

(1) Find the expression of this quadratic function;

(2) Find the coordinates of the points where the graph intersects the x-axis and the y-axis, respectively.

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