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This is practice for the analytic view of rigid translations and transformations.

1 : Consider the translation and/or transformation of the function $f(x)$ given by If the point $(\sage {p1c5}, \sage {p1c6})$ 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 and/or transformation of the function $f(x)$ given by If the point $(\sage {p2c5}, \sage {p2c6})$ 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 and/or transformation of the function $f(x)$ given by If the point $(\sage {p3c5}, \sage {p3c6})$ 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 and/or transformation of the function $f(x)$ given by If the point $(\sage {p4c5}, \sage {p4c6})$ is on the graph of $f(x)$, what point must be on the graph of $g(x)$? $(\answer {\sage {p4ans1}},\answer {\sage {p4ans2}})$.

If you are having trouble figuring out how these work, try watching these videos for an explanation!

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