
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
Given the parabola $y=-x^{2}+4x-2$ is shifted $m$ units upwards, and after the shift, it has only one intersection point with the $x$-axis in the range $-1 \lt x \lt 4$, determine the range of values for $m$.

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