It seems like you're looking to match the function transformations with their descriptions. Based on the provided options, here’s how they can be matched:
-
f(x) − 54: This transformation represents a vertical shift downwards of the graph of the function f(x) by 54 units.
-
f(x + 54): This transformation represents a horizontal shift to the left of the graph of the function f(x) by 54 units.
So you can fill in the boxes as follows:
- For f(x) − 54, the description is vertical shift downwards by 54 units.
- For f(x + 54), the description is horizontal shift to the left by 54 units.
If there are specific descriptions in boxes for you to fill, just follow the logic provided above.