https://file.aiquickdraw.com/mathbot/file/1729600968228160o3fcx.jpg

The problem in the image asks for the translation of point \( B(2, -1) \) by a vector \( (3, 2) \).

### Translation Formula:
The translation of a point \( (x, y) \) by a vector \( (a, b) \) is given by:
\[
(x', y') = (x + a, y + b)
\]
where \( (x', y') \) is the new point after translation.

### Applying the Formula:
For \( B(2, -1) \) and the translation vector \( (3, 2) \):
\[
x' = 2 + 3 = 5
\]
\[
y' = -1 + 2 = 1
\]
Thus, the new point after translation is \( B'(5, 1) \).

### Final Answer:
The translated point is \( B'(5, 1) \).

Would you like further details on translation or have any questions?

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Here are 5 related questions for practice:
1. What is the translation of the point \( (4, 3) \) by the vector \( (-2, 5) \)?
2. How would you translate point \( (-1, -4) \) by the vector \( (6, 2) \)?
3. What is the geometric meaning of a translation?
4. If a point is translated by vector \( (a, b) \), what happens when we translate it back by \( (-a, -b) \)?
5. How does translation affect the slope between two points?

**Tip:** When translating points, always add the translation vector components directly to the coordinates of the original point.

Bayangan titik B(2, -1) jika ditranslasi sebesar (3, 2) adalah?

Learn how to find the translated point of B(2, -1) by applying the translation vector (3, 2). This tutorial covers the translation formula and basic geometry concepts. Suitable for students in Grades 6-8.

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