Question

Match each transformation with the correct description in the options:
1. y = f (-x)
2. y = f (x) + k
3. y = k · f (x)
4. y = f (x + k)
5. y = f (k · x)
6. y = -f (x)
Options:
A. Vertical shift
B. Horizontal stretch/compression
C. Vertical stretch/compression
D. Reflection across the x-axis
E. Horizontal Shift
F. Reflection across the y-axis

Answer 1

Here are the transformations matched with their corresponding descriptions:

1. **y = f (-x)** - **F. Reflection across the y-axis**
2. **y = f (x) + k** - **A. Vertical shift**
3. **y = k · f (x)** - **C. Vertical stretch/compression**
4. **y = f (x + k)** - **E. Horizontal Shift**
5. **y = f (k · x)** - **B. Horizontal stretch/compression**
6. **y = -f (x)** - **D. Reflection across the x-axis**