Question

Match each transformation with the correct description.(6 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. y=f(k⋅x) y=k⋅f(x) y=−f(x) y=f(−x) y=f(x+k) y=f(x)+k Skip to navigation page 10 of 10reflection across the y axis
reflection across the x axis
horizontal stretch/compression
vertical stretch/compression
vertical shift
horizontal shift

Answer 1

Here are the transformations matched with their correct descriptions:

1. **Reflection across the y-axis**: \( y = f(-x) \)
2. **Reflection across the x-axis**: \( y = -f(x) \)
3. **Horizontal stretch/compression**: \( y = f(k \cdot x) \) (where \( |k| < 1 \) for a stretch and \( |k| > 1 \) for a compression)
4. **Vertical stretch/compression**: \( y = k \cdot f(x) \) (where \( |k| > 1 \) for a stretch and \( |k| < 1 \) for a compression)
5. **Vertical shift**: \( y = f(x) + k \)
6. **Horizontal shift**: \( y = f(x + k) \)

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