Problem 4. (10pts). Let $S = \{(u, v) : 0 \le u \le 1, 0 \le v \le 1\}$; be a unit square in the $uv$-plane. Find the image of $S$ in the $xy$-plane under the following transformation. $T : x = u, y = 2v + 2$. Sketch both $S$ and $R$.
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Step 1: The transformation T maps the point (u, v) in the uv-plane to the point (x, y) = (u, 2v + 2) in the xy-plane. Show more…
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