Question

The graph of g(x) = X³ - x is shown


Which is the graph of 0.5g(x - 2)+1

Answer 1

B

Explanation:

B is the answer.

Answer 2

Follow these steps to apply the transformations

Step 1) Vertically scale the graph by a factor of 0.5 = 1/2, meaning that it is half as tall as before (ie it has been "squished" or compressed vertically)

Step 2) Shift the graph 2 units to the right

Step 3) Shift the graph 1 unit up

Following these steps will lead you to the graph shown in the attached image