To find the graph of \( f(-x) \) from the original function \( f(x) = x + 1 \), we first replace \( x \) with \( -x \):
\[ f(-x) = -x + 1 \]
This means that the graph of \( f(-x) \) is obtained by reflecting the graph of \( f(x) \) across the \( y \)-axis.
The original graph \( f(x) = x + 1 \) is a straight line with a slope of 1 and a y-intercept at (0, 1). When we reflect this line across the y-axis, the slope becomes -1. Therefore, the new line \( f(-x) = -x + 1 \) will have a y-intercept at (0, 1) but will slope downwards.
To determine which option corresponds to the graph of \( f(-x) \):
- Look for a straight line that also intersects the y-axis at \( (0, 1) \).
- The line should descend from left to right (negative slope).
You can identify the correct option based on these characteristics. If you have the options visually or as a description, you can choose the one that matches the criteria listed above.
If you state what options 1-4 look like, I can help you determine which one corresponds to \( f(-x) \).