The question asks which statement is true regarding the graphed functions $f(x)$ and $g(x)$. From the image, we have two lines:

• The red line represents $g(x)$.
• The blue line represents $f(x)$.

Let’s analyze the values at the relevant points for both functions:

1. $f(-2)$: Locate $x = -2$ on the blue line (which represents $f(x)$). From the graph, when $x = -2$, the value of $f(-2)$ seems to be about 2.

2. $g(0)$: Locate $x = 0$ on the red line (which represents $g(x)$). When $x = 0$, $g(0)$ equals 2.

3. $g(-2)$: On the red line, when $x = -2$, $g(-2)$ appears to be about -2.

4. $f(0)$: For $x = 0$ on the blue line, $f(0)$ equals 0.

Now, let’s evaluate the answer choices:

• $f(-2) = g(0)$: This is true because $f(-2) = 2$ and $g(0) = 2$, so both are equal.

• $f(-2) = g(-2)$: This is false because $f(-2) = 2$ and $g(-2) = -2$.

• $f(0) = g(0)$: This is false because $f(0) = 0$ and $g(0) = 2$.

• $f(0) = g(-2)$: This is false because $f(0) = 0$ and $g(-2) = -2$.

The correct answer is:

• $f(-2) = g(0)$.

Would you like more details or further clarification?

Here are 5 related questions for practice:

1. How can you determine the slope of each function from the graph?
2. What is the equation of the line for $f(x)$?
3. What is the equation of the line for $g(x)$?
4. How do you find the intercepts of a function from its graph?
5. Can you explain the difference between parallel and perpendicular lines using the slopes of these functions?

Tip: When analyzing a graph, always check key points like intercepts and common values to compare functions effectively.