To translate the vertex of the triangle \((-3, 5)\) up by 6 units, you need to simply add 6 to the y-coordinate of the vertex.
Starting with the original coordinates:
- \(x\) coordinate: \(-3\)
- \(y\) coordinate: \(5\)
After translating up 6 units, the new \(y\) coordinate is: \[ 5 + 6 = 11 \]
So, the new coordinates of the vertex after the translation are: \((-3, 11)\).
If you'd like to visualize it on a graph, here’s a simple outline:
- Plot the original point \((-3, 5)\) on a coordinate plane.
- From this point, move straight up 6 units.
- Mark the new point, which is \((-3, 11)\).
The final coordinates after translation are: \((-3, 11)\).