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The image you uploaded shows a table detailing functions, their transformations (shifts), and the results of these transformations. Let’s break down the table:

1. **Column 1 ("No.")**: Identifies each case.
2. **Column 2 ("Fungsi")**: Describes the type of function and its original form.
3. **Column 3 ("Pergeseran")**: Indicates the type of shift, either horizontal (left or right) or vertical (up or down).
4. **Column 4 ("Hasil Pergeseran")**: Shows the function after the transformation.

### Understanding Each Transformation:

- **c.**:
  - Original function: \( g(x) = x^2 + 6x - 5 \)
  - Transformation: 2 units to the right
  - Horizontal shifts are applied by replacing \( x \) with \( (x - h) \) where \( h \) is the shift. So, shifting 2 units to the right transforms \( g(x) \) into \( g(x - 2) = (x - 2)^2 + 6(x - 2) - 5 \).

- **d.**:
  - Original function: \( g(x) = 2x^2 + 3 \)
  - Transformation: 4 units to the right and 1 unit downward
  - Apply the shift to the right by replacing \( x \) with \( (x - 4) \) and subtracting 1 from the function: \( g(x - 4) - 1 \).

- **e.**:
  - Original function: \( g(x) = 3^{(x+5)} \)
  - Transformation: 5 units to the right
  - Shift the function by replacing \( x \) with \( (x - 5) \), resulting in \( g(x - 5) = 3^x \).

- **f.**:
  - Original function: \( g(x) = 2^{3x} \)
  - Transformation: 1 unit to the left and 3 units downward
  - Apply a left shift by replacing \( x \) with \( (x + 1) \) and then subtract 3 from the function: \( g(x + 1) - 3 \).

If you'd like a step-by-step explanation for any specific transformation or further details, feel free to ask!

### Here are some questions to expand on this topic:
1. What are the general rules for horizontal and vertical shifts in functions?
2. How would you shift a function both horizontally and vertically at the same time?
3. How do transformations affect the graph of a function visually?
4. Can you apply these transformations to trigonometric functions?
5. How can reflections be incorporated into these transformations?

### Tip:
For horizontal shifts, subtracting a positive number moves the graph to the right, and adding a positive number moves it to the left.

The image shows transformations of various functions, including horizontal and vertical shifts.

Explore transformations of functions with horizontal and vertical shifts. This includes step-by-step examples of quadratic and exponential functions. Ideal for students in Grades 10-12 learning about function transformations.

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