A triangle with a vertex (−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)
To translate a point, you will need to add or subtract the same value from each coordinate. In this case, since the triangle is being translated up 6 units, you will add 6 to the y-coordinate of the given vertex.
The original vertex is (−3, 5). By adding 6 to the y-coordinate, we get:
−3 + (0) = −3
5 + 6 = 11
Therefore, the new coordinates after the translation are (−3, 11).
Here is a graph showing the original vertex (−3, 5) and the translated vertex (−3, 11):
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11| o
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5 | o
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-3
After the triangle is translated up 6 units, the y-coordinate of the vertex (-3, 5) will increase by 6 units.
The new coordinates of the vertex would be (-3, 5+6) = (-3, 11).
To represent this translation on a graph, we can plot the original vertex (-3, 5) and the translated vertex (-3, 11) as shown below:
{{{ graph(200,200,-10,10,-5,15,5,11) }}}