To accurately answer this question, I'll need to know the specific graph you're referring to as "mc019-2.jpg." However, based on common scenarios and the typical ways in which graphs can be translated, I can provide a general explanation.
When translating the graph of a function, there are a few basic transformations you can apply:
1. **Shift Up**: This involves moving the graph vertically upwards.
- To shift the graph of a function \( f(x) \) up by \( k \) units, you modify the function to \( f(x) + k \).
2. **Shift Down**: This involves moving the graph vertically downwards.
- To shift the graph of a function \( f(x) \) down by \( k \) units, you modify the function to \( f(x) - k \).
3. **Shift Left**: This involves moving the graph horizontally to the left.
- To shift the graph of a function \( f(x) \) left by \( h \) units, you modify the function to \( f(x + h) \).
4. **Shift Right**: This involves moving the graph horizontally to the right.
- To shift the graph of a function \( f(x) \) right by \( h \) units, you modify the function to \( f(x - h) \).
Based on these transformations, here's how you could interpret the options you've listed:
1. **Shift up 4 units**: The new function would be \( f(x) + 4 \). This moves every point of the graph 4 units higher.
2. **Shift left 4 units**: The new function would be \( f(x + 4) \). This moves every point of the graph 4 units to the left.
3. **Shift down 4 units**: The new function would be \( f(x) - 4 \). This moves every point of the graph 4 units lower.
4. **Shift right 4 units**: The new function would be \( f(x - 4) \). This moves every point of the graph 4 units to the right.
To match the specific translation described by "mc019-2.jpg," please provide more context or details about the original and transformed graphs, and I can give a precise answer.
6.
Describe how to translate the graph of to obtain the graph of mc019-2.jpg.
shift up 4 units
shift left 4 units
shift down 4 units
shift right 4 units
1 answer
1 answer