Final answer:
To find the new x-coordinate of point B' after a translation, add the x-component of the translation vector to point B's original x-coordinate. However, without the translation vector provided, the exact new coordinate cannot be determined.
Step-by-step explanation:
The student is asking about how to determine the new location of a point after it undergoes a translation in geometry. To find the new x-coordinate of point B' after a translation by a given vector, you add the x-component of the translation vector to the original x-coordinate of the point B.
If the translation vector is given as (vx, vy), then the x-coordinate of point B' is found by the calculation B'x = Bx + vx. Without the specifics of the translation vector in the question, we cannot calculate the exact new x-coordinate of point B'.
However, as an example, if the translation vector was (5, 2), then point B at (-2, 3) would move to B' which would be (-2+5, 3+2) and the new x-coordinate of B' would be 3.
The complete question is: A translation is performed based on a vector with component form over triangle ABC. Point B is located at (-2, 3), find the x coordinate of point B' after the translation. is: