Question

given the function (shown down below) describe the transformation, find the domain, range, and graph

Answer 1

\[y= \sqrt{x-2}+3\]

Answer 2

the parent function is
\[\large y = \sqrt{x} \]

this parameter "a" translates the graph left or right depending on the value of a:
\[\large y = \sqrt{x-a} \]

this parameter "k" translates the graph up or down depending on the value of k:
\[\large y = \sqrt{x} +k\]

so with that info, what do you think the graph will look like if your equation is:
\[\large y = \sqrt{x-2}+3 \]