https://file.aiquickdraw.com/mathbot/file/1726419436208l8uexukb.jpg

The image shows a graph of a quadratic function \( f \) and several related questions in Dutch.

### a) Fill in the following:
- \( f(3) = \)  
- \( f(-1) = \)  
- \( f(1) = \)  
- \( f(\_ ) = -2 \)

From the graph:
1. To find \( f(3) \), look at where \( x = 3 \) intersects the graph. This point corresponds to \( f(3) = 2 \).
2. For \( f(-1) \), check the point where \( x = -1 \) intersects the graph, which gives \( f(-1) = 2 \).
3. For \( f(1) \), find the intersection at \( x = 1 \), which shows \( f(1) = 0 \).
4. To find \( f(x) = -2 \), look for the value of \( x \) where the graph is at \( y = -2 \). This occurs at \( x = 2 \).

So, the answers for part (a) are:
- \( f(3) = 2 \)
- \( f(-1) = 2 \)
- \( f(1) = 0 \)
- \( f(2) = -2 \)

### b) Complete the table:
- For \( x = -1 \), \( f(-1) = 2 \) (from the graph).
- For \( x = 4 \), check the intersection at \( x = 4 \) on the graph, which gives \( f(4) = 7 \).

Thus, the completed table for part (b) is:
\[
\begin{array}{c|c|c}
x & f(x) \\
\hline
-1

Given the graph of the function f, answer the following questions about its values at specific points and complete the table with the function's values at other points.

Learn how to evaluate a quadratic function from its graph and fill in the function's values at various points. This exercise demonstrates the concept of function evaluation and graph interpretation for quadratic equations, suitable for students in Grades 8-10.

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