Rigid Translation and Transformations Practice

$\newenvironment {prompt}{}{} \newcommand {\ungraded }[0]{} \newcommand {\HyperFirstAtBeginDocument }[0]{\AtBeginDocument }$

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 $g(x) = \sage {p1c1}f( \sage {p1i1} ) + (\sage {p1c4}).$ 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 $g(x) = \sage {p2c1}f( \sage {p2i1} ) + (\sage {p2c4}).$ 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 $g(x) = \sage {p3c1}f( \sage {p3i1} ) + (\sage {p3c4}).$ 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 $g(x) = \sage {p4c1}f( \sage {p4i1} ) + (\sage {p4c4}).$ 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!