The graph in the image represents $y = f(x) - 3$, and the question asks for the value of $x$, rounded to the nearest whole number, when $f(x) = 4$.

To solve this:

1. Rearrange the equation to solve for $f(x)$: $f(x) - 3 = 4$ $f(x) = 4 + 3 = 7$ So, we need to find the value of $x$ for which $f(x) = 7$.

2. Now, observe the graph. The curve $y = f(x) - 3$ is plotted. When $f(x) = 7$, the value of $y$ on the graph will be: $y = f(x) - 3 = 7 - 3 = 4$ Therefore, we need to find the $x$-coordinate when $y = 4$ on the graph.

3. From the graph, at $y = 4$, the corresponding value of $x$ is approximately 6.

Thus, the value of $x$ where $f(x) = 4$ is 6 (rounded to the nearest whole number).

Do you want more details or have any other questions?

Here are 5 related questions:

1. How do you determine the vertical shift in a function from its graph?
2. What does the function $f(x) - 3$ represent in terms of transformations?
3. How do you interpret the horizontal stretch/compression in graphs?
4. What is the general approach to solving equations involving functions graphically?
5. How do you estimate values between grid lines on a graph?

Tip: For transformed functions, always first reverse the transformations to identify the original function behavior.