I need help solving these

Question

consider the function y=f(x). describe the graph of each transformed function:

(a) y= -f(x-2)-1

(b) y= -f(-x)

Answer 1

part a

f(x)= y

f(x-2) shifts the function or curve to the right by 2

-f(x-2) reflects the function around the x axis, or rotates it

180 degrees around the x axis

-f(x-2) -1 shifts the function down by 1

part b f(-x) reflects the function around the y axis

-f(x) reflects it around the x axis