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The image shows a math problem that involves graphing functions and determining their equations. Let's break down the tasks based on the provided image:

1. **Graph the function given by \( y = |x - 2| + 4 \) on the grid.**
   - This is a function involving an absolute value. The graph of an absolute value function generally forms a "V" shape. Here, \( y = |x - 2| + 4 \) represents an absolute value function that is shifted 2 units to the right and 4 units up.

2. **Write an equation in terms of \( x \) that describes each of the graphs given. Assume that the functions can be described in the form \( y = a|x - b| + c \).**
   - The second part involves identifying the given graph and finding the parameters \( a \), \( b \), and \( c \) that define the absolute value function of the form \( y = a|x - b| + c \).

3. **Determine if the inverse of \( f(x) \) is a function. Explain why or why not.**
   - This part asks if the function \( f(x) \) has an inverse that is also a function. A function has an inverse that is also a function if and only if it passes the horizontal line test (each horizontal line intersects the graph at most once).

Would you like me to go ahead and solve each part step-by-step?

Graph the function y = |x - 2| + 4, write an equation in terms of x that describes the given graph, and determine if the inverse of f(x) is a function.

Learn how to graph the absolute value function y = |x - 2| + 4 and analyze its properties. This problem also involves determining the equation of another function and checking if the inverse is a function using the horizontal line test.

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