6.

Question

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

Answer 1

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.