
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 green parabola shown is the graph of the equation $y = ax^2 + bx + c$. Find $c$. (Assume that the graph has the standard unit scale.)

[asy]
size(150);
real f(real x) {return -2*(x-1)^2 + 3;}
draw(graph(f,-1,3), green+1bp);
label("$y$",(-0.5,4.5),NW);
label("$x$",(4,-0.5),SE);
dot((1,3));
dot((0,2));
xaxis("$x$", BottomTop, LeftTicks);
yaxis("$y$", LeftRight, RightTicks);
[/asy]

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