)A triangle with a vertex (−3, 5)

Question

(
−
3
,

5
)
is translated up 6 units. What are the coordinates of this vertex after it is translated? Draw a graph if necessary.(1 point)
()

Answer 1

To translate the vertex \((-3, 5)\) of the triangle up by 6 units, you simply add 6 to the y-coordinate of the vertex while keeping the x-coordinate the same.

1. Starting coordinates: \((-3, 5)\)
2. Translate up by 6 units:
   New y-coordinate = \(5 + 6 = 11\)

So the new coordinates of the vertex after the translation are \((-3, 11)\).

Summary:

• Original vertex: \((-3, 5)\)
• Translated vertex: \((-3, 11)\)

If you imagine this on a graph, the vertex moves directly upwards along the same vertical line (x = -3) to the new position at \((-3, 11)\).

If you'd like to visualize it:

1. Plot the point \((-3, 5)\).
2. Move straight up 6 units to reach and label \((-3, 11)\).

Let me know if you need further assistance!