The point (−3, −2)

Question

(
−
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 subtract 5 from the x-coordinate of the point.

So, the calculation would be:

\[ \text{New x-coordinate} = -3 - 5 = -8 \]

The y-coordinate remains unchanged:

\[ \text{New y-coordinate} = -2 \]

Therefore, the new coordinates of the vertex after the translation are:

\[ (-8, -2) \]

To visualize this, you can draw a coordinate plane:

1. Mark the original point \((-3, -2)\).
2. Move 5 units to the left (from \(-3\) to \(-8\)) on the x-axis.
3. Keep the y-coordinate at \(-2\).

You will end up placing the point at \((-8, -2)\).