Question

A triangle with a vertex (−3, 5)
(
−
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 (or vertex) up by a certain number of units, you simply add that number to the y-coordinate of the point.

Given the vertex at \((-3, 5)\) and translating it up by 6 units, you can calculate the new coordinates as follows:

1. The x-coordinate remains unchanged: \(-3\).
2. The y-coordinate is updated: \(5 + 6 = 11\).

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

\[
(-3, 11)
\]

If you were to draw this on a graph, you would mark the original point at \((-3, 5)\) and then draw an arrow vertically upwards to the point \((-3, 11)\) to indicate the translation.