Question

Picture attached with question

Answer 1

The function is stretched vertically by a factor of 3.

The function shifts 2 to the right.

The function is moved 5 units up.

Explanation:

The parent function of the graph is $f(x)=\sqrt{x}$

The transformation for the parent function is given by $g(x)=3\sqrt{x-2} +5$

Thus, the transformed function is in the form of $y=a\sqrt{x-h} +k$

where a is the vertical compression/stretch,

h moves graph to left or right and

k moves the graph up or down.

Thus, from the transformed function $g(x)=3\sqrt{x-2} +5$, we have,

$a=3, h=2 , k=5$

The attached graph below shows the transformation of the graph that the graph is stretched vertically by a factor of 3 and shifted 2 units to the right and moved 5 units up.

Hence, The function is stretched vertically by a factor of 3.

The function shifts 2 to the right.

The function is moved 5 units up.