Question

what does the graph look like for the following equation

Answer 1

\[f(x)=2\sqrt{x}-2\]

Answer 2

i have to domain and range i have no idea how to get the plots

Answer 3

https://www.desmos.com/calculator

Answer 4

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

Answer 5

I mean vertical shift

Answer 6

(then there is stretch by 2 scale factor of 2, next to \(\large\color{black}{\sqrt{x} }\) )