Transform Practice

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This is practice for the analytic view of transformations.

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

1 : Consider the transformation of the function $f(x)$ given by $g(x) = \sage {p1c1}f( \sage {p1c2}x ).$ 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 transformation of the function $f(x)$ given by $g(x) = \sage {p2c1}f( \sage {p2c2}x ).$ 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 transformation of the function $f(x)$ given by $g(x) = \sage {p3c1}f( \sage {p3c2}x ).$ 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 transformation of the function $f(x)$ given by $g(x) = \sage {p4c1}f( \sage {p4c2}x ).$ If the point $(\sage {p4c3}, \sage {p4c4})$ is on the graph of $f(x)$ , what point must be on the graph of $g(x)$ ? $(\answer {\sage {p4ans1}},\answer {\sage {p4ans2}})$ .