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, 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

(−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, −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 a point (x, y) up by 3 units, you simply add 3 to the y-coordinate of each point.

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 \((4, 2)\):
\[
(4, 2 + 3) = (4, 5)
\]

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

So the correct response is:
\[
(-3, 5), (0, 8), \text{ and } (4, 5)
\]

You may draw this new triangle on a coordinate plane by plotting these points and connecting them to visualize the translation.