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 a point in the Cartesian coordinate system, you adjust the coordinates based on the translation vector. Translating a point 5 units to the left means you will subtract 5 from the x-coordinate of the point.

Given the original point $(-3,-2)$:

1. The x-coordinate will change from -3 to $-3-5$.
2. The y-coordinate remains unchanged at -2.

Calculating the new coordinates:

• New x-coordinate: $-3-5=-8$
• New y-coordinate: $-2$

Therefore, the vertex of the triangle after the translation is $(-8,-2)$.

So, the point $(-3,-2)$ translated 5 units to the left becomes $(-8,-2)$.