So let's suppose this is the $x(t)$ signal:
This is what i know
- $x(t+1)$ should be shifted by 1 on $y$ axis , so the signal will start from $-1$ and end to $1$ instead of $0$ to $2$
- $x(-t)$ will reflect the signal
- $x(1.5t)$ will suppress the signal by $1.5$
How can i correctly calculate and make a graphical representation of $x(-1.5t+1)$ ?
Note: I'm new with with this kind of mathematics and expressions , any edit would be appriciated!
If you just want the graph, then you can use the following sequence: $$x(t) \xrightarrow{\text{suppress}} x(1.5t) \xrightarrow{\text{reflect}}x(-1.5t) \xrightarrow{\text{shift by} \frac{2}{3}}x(-1.5t+1).$$
If you want algebraically then, you first need to find $x(t)$ from the graph. From the graph given, $$x(t)= \begin{cases} 0 & \text{ if } t \leq 0 \text{ or } t \geq 2\\ 1 & \text{ if } 0 <t \leq 1\\ 2-t & \text{ if } 1 < t <2. \end{cases}$$ Now you can compute the composite function $x(-1.5t+1)$.