Question

A triangle has vertices (−3, 2)
, (0, 5)
, and (4, 2)
. What are the vertices after translating the triangle 3 units up? Draw a graph if necessary.(1 point)
Responses

(−6, 2)
, (−3, 5)
, and (1, 2)
left parenthesis negative 6 comma 2 right parenthesis , left parenthesis negative 3 comma 5 right parenthesis , and left parenthesis 1 comma 2 right parenthesis

(−3, 5)
, (0, 8)
, and (4, 5)
left parenthesis negative 3 comma 5 right parenthesis , left parenthesis 0 comma 8 right parenthesis , and left parenthesis 4 comma 5 right parenthesis

(−3, −1)
, (0, 2)
, and (4, −1)
left parenthesis negative 3 comma negative 1 right parenthesis , left parenthesis 0 comma 2 right parenthesis , and left parenthesis 4 comma negative 1 right parenthesis

(0, 2)
, (3, 5)
, and (7, 2)

Answer 1

To translate the triangle with vertices (−3, 2), (0, 5), and (4, 2) 3 units up, we need to add 3 to the y-coordinate of each vertex.

1. For the vertex (−3, 2):
- New vertex: (−3, 2 + 3) = (−3, 5)

2. For the vertex (0, 5):
- New vertex: (0, 5 + 3) = (0, 8)

3. For the vertex (4, 2):
- New vertex: (4, 2 + 3) = (4, 5)

So the new vertices after the translation are (−3, 5), (0, 8), and (4, 5).

Therefore, the correct response is:
**(−3, 5), (0, 8), and (4, 5)**.