A triangle with a vertex (−3, 5)

Question

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

Answer 1

To find the new coordinates of the vertex when translated up 6 units, we need to add 6 to the y-coordinate of the original vertex.

The original vertex is given as \((-3, 5)\). We will translate it up by 6 units:

\[ \text{New y-coordinate} = 5 + 6 = 11 \]

The x-coordinate remains the same because the translation is purely vertical.

So the new coordinates of the vertex after the translation are:

\[ (-3, 11) \]

If you were to graph this, you would plot the original point \((-3, 5)\) and then move it upwards by 6 units to arrive at the new point \((-3, 11)\).

Unfortunately, I can't create a visual graph, but you can imagine the original point on the Cartesian plane and then simply moving straight upwards to find the new point.