https://file.aiquickdraw.com/mathbot/file/1727071432642dof5da32.jpg

Let's break down the problem based on the provided image and solve the tasks.

### Given:
A graph of the function \( f(x) \), and we need to answer the following:

**(a) Tentukan nilai dari \( f(2) \).**

From the graph, we can find the value of \( f(2) \) by locating \( x = 2 \) on the x-axis and identifying the corresponding value on the y-axis.
- From the graph, at \( x = 2 \), \( y = 3 \), so:
  \[
  f(2) = 3
  \]

**(b) Jika \( g(x) = f(x) + 1 \), tentukan nilai dari \( g(-2) \).**

Here, \( g(x) \) is the function \( f(x) \) shifted upward by 1 unit. To find \( g(-2) \), we first find \( f(-2) \) and then add 1:
- From the graph, at \( x = -2 \), \( y = 0 \), so \( f(-2) = 0 \).
  Therefore:
  \[
  g(-2) = f(-2) + 1 = 0 + 1 = 1
  \]

**(c) Sketsa grafik dari \( g(x) \).**

Since \( g(x) = f(x) + 1 \), the graph of \( g(x) \) will be the same as \( f(x) \), but shifted upward by 1 unit. This means every point on the graph of \( f(x) \) will be moved up by 1 unit.

Would you like a detailed sketch or further clarification?

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### Related Questions:
1. What is the value of \( f(1) \) from the graph?
2. How would the graph of \( g(x) = f(x) - 2 \) look in comparison to \( f(x) \)?
3. Can you explain what the transformation \( f(x) + 1 \) does to the graph in general?
4. What would be the value of \( g(3) \) if \( g(x) = f(x) + 1 \)?
5. If \( h(x) = f(x) - 1 \), what is the value of \( h(-3) \)?

### Tip:
When dealing with transformations like \( f(x) + c \), it’s helpful to visualize how each point on the graph moves. Adding \( c \) shifts the graph vertically.

Diberikan grafik fungsi f(x) sebagai berikut:
(a) Tentukan nilai dari f(2).
(b) Jika g(x) = f(x) + 1 tentukan nilai dari g(-2).
(c) Sketsa grafik dari g(x).

Solve a function problem by finding f(2) from the graph, determining g(-2) with the transformation g(x) = f(x) + 1, and sketching the graph of g(x). Learn key concepts related to graph transformations and function values.

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