Question

The point (−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

Answer 1

To translate the point \((-3, -2)\) 5 units to the left, we need to subtract 5 from the x-coordinate of the point.

The original x-coordinate is \(-3\):
\[
-3 - 5 = -8
\]
The y-coordinate remains unchanged, which is \(-2\).

Thus, the new coordinates of the translated point will be:
\[
(-8, -2)
\]

So, after translating the vertex \((-3, -2)\) 5 units to the left, the new point in the translated figure is \((-8, -2)\).