What equation do we use to find the vertical translation?  (Write your answer using the subscript.  Ex. x2, y1)

To find the vertical translation of a point, you can use the following equation:

\[ y_2 = y_1 + k \]

Here:
- \( y_1 \) is the original y-coordinate.
- \( y_2 \) is the new y-coordinate after translation.
- \( k \) is the vertical translation amount.

If \( k \) is positive, the point moves upward. If \( k \) is negative, the point moves downward.

Would you like more details on this, or do you have other questions? Here are five related questions:

1. How would you modify the equation for horizontal translation?
2. What does the equation look like if the translation is both vertical and horizontal?
3. How does the value of \( k \) affect the direction of the translation?
4. Can vertical translations change the shape of the triangle?
5. What is the effect of a vertical translation on the area of a triangle?

**Tip:** When translating shapes, the value added or subtracted in the equation represents the exact distance the shape moves in that direction.

Explore how to find the vertical translation in coordinate geometry using the equation y₂ = y₁ + k. Learn about the effects of positive and negative values of k on the movement of points. Suitable for students in Grades 6-8.

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