Finding x(t) from x(-2t+1) for Scientists

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baby_1
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Hello
here is the x(-2t+1). i want to know how can find the x(t) diagram from this picture?
Graph of x(-2t+1) against t: a ramp rising from the origin to a plateau at height 1 at t = 1, held flat until t = 1.5, then dropping to zero, with axis labels 1 and 2 marked.
 
baby_1 said:
Hello
here is the x(-2t+1). i want to know how can find the x(t) diagram from this picture?
Graph of x(-2t+1) against t: a ramp rising from the origin to a plateau at height 1 at t = 1, held flat until t = 2, then dropping to zero.

Hi baby_1, try taking it in baby steps :wink: One simple transformation at a time.

- See if you can deduce what x(-2t) would be. Hint x(-2t+1) = x(-2(t-0.5)).

- From there you can probably figure out x(2t).

- From there you can try to deduce what x(t) will look like.
 
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Dear mfb
Thanks it helps me to solve many problems
here is the answer
Graph of x(t) against t: a piecewise signal that is constant at height 1 from t = -3 to t = -1, then decreases linearly to zero at t = 1, and is zero elsewhere. Labels on the axes mark -3, -1, 1 on the t-axis and 1 on the x(t)-axis.

i want to know the step to extarct x(t) from the scaled and shifted function x(-2t+1)

Thanks
 
Thank you very much uart it solved fine.(sorry for basic question :) )