
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 parabola $y=a\left(x-h\right)^{2}+k$ passes through the points $(-1,0)$ and $(5,0)$. If one of the solutions of the quadratic equation $a\left(x-h+m\right)^{2}+k=0$ with respect to $x$ is $x=4$, then $m=\_\_\_\_\_\_$.

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