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

(−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

(−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

(0, 2)
, (3, 5)
, and (7, 2)
left parenthesis 0 comma 2 right parenthesis , left parenthesis 3 comma 5 right parenthesis , and left parenthesis 7 comma 2 right parenthesis

(−6, 2)
, (−3, 5)
, and (1, 2)

Answer 1

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

1. The vertex (-3, 2) becomes (-3, 2 + 3) = (-3, 5).
2. The vertex (0, 5) becomes (0, 5 + 3) = (0, 8).
3. The vertex (4, 2) becomes (4, 2 + 3) = (4, 5).

Thus, after translating the triangle 3 units up, the new vertices will be:
- (-3, 5)
- (0, 8)
- (4, 5)

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