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This is practice for the analytic view of rigid translations.

If you are having trouble figuring out how this works, try watching these videos for an explanation!
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1 : Consider the translation of the function $f(x)$ given by If the point $(\sage {p1c3}, \sage {p1c4})$ is on the graph of $f(x)$, what point must be on the graph of $g(x)$? $(\answer {\sage {p1ans1}},\answer {\sage {p1ans2}})$.
2 : Consider the translation of the function $f(x)$ given by If the point $(\sage {p2c3}, \sage {p2c4})$ is on the graph of $f(x)$, what point must be on the graph of $g(x)$? $(\answer {\sage {p2ans1}},\answer {\sage {p2ans2}})$.
3 : Consider the translation of the function $f(x)$ given by If the point $(\sage {p3c3}, \sage {p3c4})$ is on the graph of $f(x)$, what point must be on the graph of $g(x)$? $(\answer {\sage {p3ans1}},\answer {\sage {p3ans2}})$.
4 : Consider the translation of the function $f(x)$ given by If the point $(\sage {p4c3}, \sage {p4c4})$ is on the graph of $f(x)$, what point must be on the graph of $g(x)$? $(\answer {\sage {p4ans1}},\answer {\sage {p4ans2}})$.