Question

Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x) + 20?

The graph of y = f(x) will shift left 20 units.

The graph of y = f(x) will shift down 20 units.

The graph of y = f(x) will shift up 20 units.

The graph of y = f(x) will shift right 20 units.

Answer 1

these are the rules of shifting the function


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

Answer 2

showing on a different example, but ...

Answer 3

this chart is making no sense to me :S

Answer 4

hold up so it would go up?

Answer 5

yes

Answer 6

20 units up

Answer 7

cuz its addition with no square root

Answer 8

yes, you are adding outside of the parenthesis (in other words)

Answer 9

ur a genius :) thank you

Answer 10

genius? not really, but you are very welcome:) Have fun !