The rules from graph translations are used to sketch the derived, inverse or other related functions. Complete the square to find turning points and find expression for composite functions.

The point A( - 3,2) lies on the graph with equation y = f(x).

If the graph of the related function y = - f(x) + 3 is drawn, what is the image of the point A?

(0, - 2)

( - 3,1)

( - 3, - 5)

The diagram shows the graph of f(x) as a green line and the graph of the related function as a pink line.

What is the equation of the related function?

y = f(x - 1) + 2

y = f(x + 1) - 2

y = f(x) + 2

Choose the correct transformation:

- f(x)

f( - x)

f(x - a)

What is the inverse of the function shown below?

Which graph represents the transformation y = f( - x)?