Question

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 a point up by a certain number of units, you simply add that number to the y-coordinate of the point.

Given the original vertex of the triangle at \((-3, 5)\) and the translation of 6 units up, you would perform the following calculation:

1. Original coordinates: \((-3, 5)\)
2. Translation: Up 6 units means you add 6 to the y-coordinate.

Calculating the new coordinates:
\[
y' = 5 + 6 = 11
\]
So the new coordinates after the translation are:
\[
(-3, 11)
\]

Thus, the coordinates of the vertex after the translation are \((-3, 11)\).

If you need to visualize this on a graph, you would plot the original point at \((-3, 5)\) and then move that point vertically upwards to \((-3, 11)\). Unfortunately, I cannot draw a graph directly here, but you can easily plot it on graph paper or using a graphing tool to see the translation visually.