To translate a point in a coordinate system, you simply modify its position based on the specified movement. In this case, you are translating the vertex of a triangle.
The vertex is given at the coordinates \((-3, 5)\). When you translate this point upward by 6 units, you need to add 6 to the y-coordinate.
Here’s how you do the calculation:
- Original vertex: \((-3, 5)\)
- Translate up 6 units: \(y\) coordinate becomes \(5 + 6 = 11\)
So, after translating the vertex up by 6 units, the new coordinates of the vertex will be:
\[ \text{New vertex coordinates} = (-3, 11) \]
Therefore, the vertex of the triangle after the translation will be at \((-3, 11)\).