Identifying and sketching related functions test questions

1

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)

2

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

f(x) passes through (-3,3) and (1,-3). The related function passes through (-2,5) and (2,-1)

What is the equation of the related function?

y = f(x - 1) + 2

y = f(x + 1) - 2

y = f(x) + 2

3

Choose the correct transformation:

The graph is moved to the right

- f(x)

f( - x)

f(x - a)

4

Choose the correct transformation:

The graph is reflected in the x-axis

- f(x)

f( - x)

f(x - a)

5

What is the inverse of the function shown below?

Graph sweeping down and to the right

Graph sweeping up and to the right

Graph sweeping up and to the left

Graph sweeping down and to the right

6

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

The graph of y=f(x)

f(x) is reflected in the x-axis

f(x) is reflected in the y-axis

f(x) is shifted right