Question

A triangle has vertices (-3, 2), (0, 5), and (4, 2). What are the vertices after translating the triangle 3 units up?

Answer 1

To translate the triangle 3 units up, you need to add 3 to the y-coordinate of each vertex.

The original vertices of the triangle are:
1. \((-3, 2)\)
2. \((0, 5)\)
3. \((4, 2)\)

Now, we will translate each vertex:

1. For the vertex \((-3, 2)\):
\[
(-3, 2 + 3) = (-3, 5)
\]

2. For the vertex \((0, 5)\):
\[
(0, 5 + 3) = (0, 8)
\]

3. For the vertex \((4, 2)\):
\[
(4, 2 + 3) = (4, 5)
\]

Thus, the new vertices after translating the triangle 3 units up are:
1. \((-3, 5)\)
2. \((0, 8)\)
3. \((4, 5)\)