Question

The point (−3, −2)
(
−
3
,

−
2
)
is a vertex of a triangle. If the triangle is translated 5 units to the left, what is this point in the translated figure? Draw a graph for yourself if needed.(1 point)
()

Answer 1

When translating a point in a coordinate plane, you adjust its x-coordinate and y-coordinate based on the translation vector. In this case, translating 5 units to the left means we subtract 5 from the x-coordinate, while the y-coordinate remains unchanged.

Starting with the point \((-3, -2)\):
- The new x-coordinate is: \(-3 - 5 = -8\)
- The y-coordinate remains the same: \(-2\)

Thus, after the translation, the new coordinates of the point become \((-8, -2)\).

So, the vertex of the triangle after the translation is \((-8, -2)\).