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.

Answer 1

To translate the point \((-3, -2)\) 5 units to the left, you will subtract 5 from the x-coordinate of the point. The y-coordinate remains unchanged.

Starting with the original point:
- x-coordinate: \(-3\)
- y-coordinate: \(-2\)

Now, perform the translation:
- New x-coordinate: \(-3 - 5 = -8\)
- New y-coordinate: \(-2\) (remains the same)

So, after translating the point \((-3, -2)\) 5 units to the left, the new coordinates are \((-8, -2)\).

Thus, the translated point in the figure is \((-8, -2)\).