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 \((-8, -2)\).