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The table in your image asks to complete entries based on the function and mirror line (garis cermin) given. Here's how to approach the problem step by step:

When a function is reflected over a line, the new equation transforms based on the symmetry of the reflection. Here’s a quick reminder of key reflection rules:

1. **Reflection over the x-axis (Sumbu X):**  
   If \( f(x) \) is reflected over the x-axis, the result is \( g(x) = -f(x) \).

2. **Reflection over the y-axis (Sumbu Y):**  
   If \( f(x) \) is reflected over the y-axis, the result is \( g(x) = f(-x) \).

3. **Reflection over the line \( y = 1 \):**  
   Reflection over a horizontal line like \( y = 1 \) translates the graph. We must adjust for this vertical shift.

4. **Reflection over the line \( x = -3 \):**  
   For reflection over a vertical line like \( x = -3 \), the x-values will adjust accordingly by shifting the function horizontally.

5. **Reflection over the line \( y = -x \):**  
   This reflection swaps the x and y variables.

Let’s fill in the table based on these transformations:

| No.  | Fungsi                              | Garis Cermin    | Hasil Pencerminan             |
|------|-------------------------------------|-----------------|-------------------------------|
| a.   | \( f(x) = 2x + 3 \)                 | Sumbu X         | \( g(x) = - (2x + 3) \) = \( -2x - 3 \) |
| b.   | \( f(x) = x^2 - 1 \)                | Sumbu Y         | \( g(x) = (-x)^2 - 1 \) = \( x^2 - 1 \) |
| c.   | \( f(x) = 2x^2 - x - 3 \)           | Sumbu X         | \( g(x) = - (2x^2 - x - 3) \) = \( -2x^2 + x + 3 \) |
| d.   | \( f(x) = 2^{3x+4} \)               | Sumbu Y         | \( g(x) = 2^{3(-x) + 4} \) = \( 2^{-3x+4} \) |
| e.   | \( f(x) = 3^x \)                    | Garis \( y = 1 \) | The reflection results in a vertical transformation. |
| f.   | \( f(x) = x^2 \)                    | Garis \( x = -3 \) | After reflecting over \( x = -3 \), the result is a horizontally shifted function. |
| g.   | \( f(x) = 3x + 6 \)                 | Garis \( y = -x \) | The result is a swapped function. |

Would you like more details on the reflections or help completing the rest of the table?

Here are five related questions:

1. How does reflecting a function over the y-axis affect its equation?
2. What happens when a function is reflected over a line other than the axes?
3. How does reflection over the line \( y = -x \) impact both linear and quadratic functions?
4. How can transformations help us understand graph symmetry?
5. What is the difference between reflecting over horizontal vs. vertical lines?

**Tip:** Always pay attention to how the reflection line affects either the x-values, y-values, or both in a function.

Lengkapilah tabel berikut berdasarkan fungsi, garis cermin, dan hasil pencerminan.

This problem focuses on function reflections over various lines such as the x-axis, y-axis, and diagonal lines. Learn how to reflect linear and quadratic functions and how transformations shift equations. Suitable for Grades 10-12.

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