A triangle with a vertex is translated up 6 units. What are the coordinates of this vertex after it is

translated? Draw a graph if necessary. (1 point)
(−3, 5)

1 answer

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:

  1. Plot the original point \((-3, 5)\) on a coordinate plane.
  2. From this point, move straight up 6 units.
  3. Mark the new point, which is \((-3, 11)\).

The final coordinates after translation are: \((-3, 11)\).