Here's the graph of \( g(t) = x(t) - \alpha x(t - 2) \). The function starts as a linear function \( \alpha t \) from \( t = 0 \) until \( t = 2 \), and then it levels off at a constant value \( 2\alpha \) after \( t = 2 \).

Would you like further explanation or details on this? 

Here are some related questions:

1. How does the graph change if the value of \( \alpha \) increases or decreases?
2. How can you interpret the effect of the delay \( t - 2 \) on the graph?
3. What happens to \( g(t) \) if you shift \( x(t) \) by a different amount?
4. How does the unit step function \( u(t) \) influence the shape of \( g(t) \)?
5. How can you express \( g(t) \) as a piecewise function?

**Tip:** When analyzing piecewise functions, always consider the behavior at key points where the function changes.

Explore the graph of the function g(t) = x(t) - α x(t - 2), detailing its linear behavior and constant value. Understand the impact of parameter α and time delay on the function's shape. Get insights into related questions such as interpreting function shifts and effects of unit step functions.

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