Question

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(x+k)y=f(x+k) y=f(x)+ky=f(x)+k y=−f(x)y=−f(x) y=f(k⋅x)y=f(k⋅x) y=f(−x)y=f(−x) y=k⋅f(x)y=k⋅f(x) Vertical stretch/compressionReflection across the y-axisHorizontal ShiftHorizontal stretch/compressionVertical shiftReflection across the x-axis

Answer 1

Here is the correct matching of transformations with their descriptions:

1. **Horizontal Shift**: \(y = f(x + k)\)
2. **Vertical Shift**: \(y = f(x) + k\)
3. **Reflection across the x-axis**: \(y = -f(x)\)
4. **Reflection across the y-axis**: \(y = f(-x)\)
5. **Horizontal stretch/compression**: \(y = f(k \cdot x)\)
6. **Vertical stretch/compression**: \(y = k \cdot f(x)\)

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