Practice problem

Transform One Function Graph into Another

Describe how to obtain the function $f(x)=4\left(\sqrt{x-2}+\frac{4}{5}\right)$ .

Choose one answer

Start with the common function $f(x)=\sqrt{x}$ . Shift the function right $2$ units. Then, shift it up $\frac{4}{5}$ units. Finally, vertically stretch the entire function by $4$ .

Start with the common function $f(x)=\sqrt{x}$ . Shift the function left $2$ units. Then, shift it up $\frac{4}{5}$ units. Finally, vertically stretch the entire function by $4$ .

Start with the common function $f(x)=\sqrt{x}$ . Shift the function right $2$ units. Then, shift it down $\frac{4}{5}$ units. Finally, vertically stretch the entire function by $4$ .

Start with the common function $f(x)=\sqrt{x}$ . Shift the function right $2$ units. Then, shift it up $\frac{4}{5}$ units. Finally, vertically compress the entire function by $4$ .