Question
The graph of f(x) is shown in red.
Draw the graph of g(x)=f(x)+1.
Make sure to start at one of the endpoints, not the middle point. After finishing the graph, click outside the grid to stop drawing
Draw the graph of g(x)=f(x)+1.
Make sure to start at one of the endpoints, not the middle point. After finishing the graph, click outside the grid to stop drawing
Answers
GPT-4o mini
To draw the graph of \( g(x) = f(x) + 1 \), you'll need to shift the entire graph of \( f(x) \) upward by 1 unit. Here’s how you can visualize it:
1. **Identify the Endpoints:** Start by identifying the endpoints of the graph of \( f(x) \). Locate the point on the graph with the smallest \( x \)-value and begin your drawing from there.
2. **Shift the Points:** For each x-coordinate on the graph of \( f(x) \), take the corresponding y-coordinate and add 1 to it. So, if a point on \( f(x) \) is at \( (a, b) \), then that point on \( g(x) \) will be at \( (a, b+1) \).
3. **Draw the Graph:** With these new points, sketch the graph of \( g(x) \). Make sure you maintain the same shape and characteristics as the original graph of \( f(x) \), just elevated by 1 unit.
4. **Complete the Graph:** Ensure that you draw from one endpoint to the other, keeping the continuity and behavior of the original function \( f(x) \).
5. **Finishing Up:** Once you have finished drawing, you can click outside the grid to stop.
If you would like, you can describe the features of \( f(x) \) in more detail (like whether it has peaks, valleys, or is linear) to help refine the drawing of \( g(x) \).
1. **Identify the Endpoints:** Start by identifying the endpoints of the graph of \( f(x) \). Locate the point on the graph with the smallest \( x \)-value and begin your drawing from there.
2. **Shift the Points:** For each x-coordinate on the graph of \( f(x) \), take the corresponding y-coordinate and add 1 to it. So, if a point on \( f(x) \) is at \( (a, b) \), then that point on \( g(x) \) will be at \( (a, b+1) \).
3. **Draw the Graph:** With these new points, sketch the graph of \( g(x) \). Make sure you maintain the same shape and characteristics as the original graph of \( f(x) \), just elevated by 1 unit.
4. **Complete the Graph:** Ensure that you draw from one endpoint to the other, keeping the continuity and behavior of the original function \( f(x) \).
5. **Finishing Up:** Once you have finished drawing, you can click outside the grid to stop.
If you would like, you can describe the features of \( f(x) \) in more detail (like whether it has peaks, valleys, or is linear) to help refine the drawing of \( g(x) \).