Question

o

Answer 1

\(\large\color{ purple }{\large {\bbox[5pt, yellow ,border:2px solid white ]{ \large\text{ }\\
\begin{array}{|c|c|c|c|}
\hline~~~~~~~~~~~~~~~~~~~~~~~~~~~\textbf{Shifts}~~~~~~~~~~~~~~~~~~~~~~~~~~~&~\bf{c~~~units~~~~} \\
\hline
\\f(x)= ∛x ~~~~~ ⇒ ~~~~~ f(x)= \sqrt[3]{x \normalsize\color{blue}{ -~\rm{c}} } &~\rm{to~~the~~right~} \\
\text{ } \\
f(x)= ∛x ~~~~~ ⇒ ~~~~~ f(x)= \sqrt[3]{x \normalsize\color{blue}{ +~\rm{c}} } &~\rm{to~~the~~left ~} \\
\text{ } \\
f(x)= ∛x ~~~~~ ⇒ ~~~~~ f(x)= ∛x \normalsize\color{blue}{ +~\rm{c} } &~\rm{up~} \\
\text{ } \\
f(x)= ∛x ~~~~~ ⇒ ~~~~~ f(x)= ∛x \normalsize\color{blue}{ -~\rm{c} } &~\rm{down~} \\ \\
\hline
\end{array} }}}\)

Answer 2

Sh..... refresh. It is an example with a square root function.

Inside parenthesis is a left/right shift
outside parenthesis is a up/down shift.

Answer 3

here are the rules
f(x+3)
moves left 3 units


f(x) + 3
moves up 3 units

f(3x)
dont remember exactly but i think stretches horizontally by a factor of 3


3•f(x)
stretches vertically by a factor of 3