A triangle with a vertex (-3, 5 ) is translated up 6 units. What are the coordinates of this vertex after it is translated? Draw a graph if necessary.

Answer 1

To translate the vertex of the triangle located at (-3, 5) up by 6 units, you simply add 6 to the y-coordinate of the vertex while keeping the x-coordinate the same.

The translation can be calculated as follows:

• Original vertex: (-3, 5)
• New y-coordinate: 5 + 6 = 11

So the new coordinates of the vertex after the translation are:

$$(-3,11)$$

Graph Representation

If you were to graph this, you would:

1. Plot the original point (-3, 5).
2. Move it directly upward along the y-axis by 6 units to reach the new point (-3, 11).

While I cannot draw graphs here, you can visualize the original and translated points on a Cartesian coordinate system:

• The original point (-3, 5) is below the x-axis, while the new point (-3, 11) is above it, clearly showing the upward translation of 6 units.