Question

MEDAL AND FAN
The function f(x) is shown below:
f(x)=(4)x+5
The function f(x) is shifted to the right by 13 units. Which of the following best represents the new function?
A) f(x)=(4)x-8
B) f(x)=(4)x+13 (my choice)
C) f(x)=(4)x+18
D) f(x)=4x-13

Answer 1

@Nnesha Could you please check this?

Answer 2

anyone?

Answer 3

they said right
so you know its opposite
- axis ---->right side +axis -------> left side

Answer 4

Oh so it would be D?

Answer 5

Because than it would be opposite

Answer 6

Right?

Answer 7

@Nnesha

Answer 8

\(\large\color{black}{f(x)=4x-8}\)
I'll try to give you a couple of examples of shifts, hope they can help....

\(\large\color{ blue }{\large {\bbox[5pt, lightyellow ,border:2px solid white ]{ \large\text{ }\\
\begin{array}{|c|c|c|c|}
\hline \texttt{Shifts} ~~~\tt from~~~ {f(x)~~~\tt to~~~g(x)}&~\tt{c~~~units~~~~} \\
\hline
\\f(x)= \sqrt[4]{x} ~~~~\rm{\Rightarrow}~~~~ g(x)= \sqrt[4]{x \normalsize\color{red }{ -~\rm{c}} } &~\rm{to~~the~~right~} \\
\text{ } \\
f(x)= \sqrt[4]{x} ~~~~\rm{\Rightarrow}~~~~ g(x)= \sqrt[4]{x \normalsize\color{red}{ +~\rm{c}} } &~\rm{to~~the~~left ~} \\
\text{ } \\
f(x)= \sqrt[4]{x} ~~~~\rm{\Rightarrow}~~~~ g(x)= \sqrt[4]{x} \normalsize\color{red}{ +~\rm{c} } &~\rm{up~} \\
\text{ } \\
f(x)= \sqrt[4]{x} ~~~~\rm{\Rightarrow}~~~~ g(x)= \sqrt[4]{x} \normalsize\color{red}{ -~\rm{c} } &~\rm{down~} \\ \\
\hline
\end{array} }}}\)

\(\large\color{ teal }{\large {\bbox[5pt, lightcyan ,border:2px solid white ]{ \large\text{ }\\
\begin{array}{|c|c|c|c|}
\hline \texttt{Shifts} ~~~\tt from~~~ {f(x)~~~\tt to~~~g(x)}&~\tt{c~~~units~~~~} \\
\hline


\\f(x)= x^2 ~~~~~\rm{\Rightarrow}~~~~ g(x)= (x \normalsize\color{red}{ -~\rm{c} })^2 &~\rm{to~~the~~right~} \\
\text{ } \\
f(x)= x^2 ~~~~~\rm{\Rightarrow}~~~~ g(x)= (x \normalsize\color{red}{ +~\rm{c} })^2&~\rm{to~~the~~left ~} \\
\text{ } \\
f(x)= x^2 ~~~~~\rm{\Rightarrow}~~~~ g(x)= x^2 \normalsize\color{red}{ +~\rm{c} } &~\rm{up~} \\
\text{ } \\
f(x)= x^2 ~~~~~\rm{\Rightarrow}~~~~ g(x)= x^2 \normalsize\color{red}{ -~\rm{c} } &~\rm{down~} \\ \\
\hline
\end{array} }}}\)

Answer 9

yes right
sorry i lost te net connection so.

Answer 10

me too, lol

Answer 11

:P

Answer 12

:D thank you both! </3 I can't give two medals though

Answer 13

ha ha

Answer 14

I don't need any medals.

Answer 15

take the knowledge....

Answer 16

Okay :D i still fan u

Answer 17

If you want to, I would certainly not mind. Not that I wouldn't help you only knowing that you would fan me... so ty