The point (−3, −2)

Question

is a vertex of a triangle. If the triangle is translated 5 units to the left, what is this point in the translated figure

Answer 1

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

So, the new x-coordinate will be:

\[ -3 - 5 = -8 \]

The y-coordinate remains the same since there is no vertical translation involved. Therefore, the y-coordinate will still be:

\[ -2 \]

Thus, the new coordinates of the point after the translation will be:

\[ (-8, -2) \]

So, the vertex of the triangle in the translated figure will be \((-8, -2)\).

Answer 2

If you are asked to translate a figure 3 units to the left and 6 units up, how many units should you add to each y-coordinate