Determine the transformations of the function f(x) to get the function g(x) =1/2f(5(x−3))−12 (The transformations happen in c, b, a, d order)

Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions and then applying the appropriate transformations.
$y=\sqrt{x-2}-1$

Lily wants to define a transformation (or series of transformations) using only rotations, reflections or translations that takes Figure A to Figure B.

Which statement about the transformation that Lily wants to define is true?
A. It can be defined with two reflections.
B.It can be defined with one rotation and one translation.
C. It cannot be defined because Figure A and Figure B are not congruent.
D.It cannot be defined because the longest side of Figure B is on the bottom.

Graph by labeling three points and determine the type or types of transformations:
$h(x)=\sqrt{x-2}-1$

Explain how you could graph each function by applying transformations.
(a) $y=\log (x-2)+7$

(b) $y=-3\log x$

(c) $y=\log (-3x)-5$