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Question-based on, "graphs of f and g are presented"...
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![The graphs of \( f \) and \( g \) are given. Find a formula for the function \( g \).
\[ g(x) = \boxed{|x + 1| + 1} \quad \textcolor{red}{\text{✘}} \]
### Graph Explanation
The graph features two functions in a coordinate system with the axes labeled \( x \) and \( y \):
1. **Function \( f(x) = |x| \):**
- This is represented by a blue V-shaped line with its vertex at the origin (0,0).
- The lines extend upwards at 45-degree angles from the vertex. The graph is symmetric about the y-axis, with the vertex being the minimum point of the graph.
2. **Function \( g \):**
- Represented by a red V-shaped line.
- The vertex of this line is at (-1, 0), and the line extends upwards symmetrically similar to the graph of \( f \), but it is shifted to the left by 1 unit and 1 unit upwards.
- The question is identifying the correct formula for \( g(x) \), which appears to be incorrectly suggested as \(|x + 1| + 1\) in the box above with a red cross (✘) indicating it's incorrect.
The student's task is to determine the correct formula for \( g \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa922849d-698a-49ea-832c-fcbd631901e0%2F9637129e-3651-4a8e-87e6-930c146edb6d%2Fnmzkkec.png&w=3840&q=75)
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