Question

Suppose we have a triangle with vertices located at A(-3,-2), B(4,5), and C(6,-1). Where is the image of C located if the figure is translated 8 units to the right and 5 units down?

A) (14, -6)
B) (2, 4)
C) (14, -4)
D) (6, -6)

Answer 1

To find the image of point C after a translation of 8 units to the right and 5 units down, add 8 to the x-coordinate and subtract 5 from the y-coordinate. The image of C is located at (14, -6).

Step-by-step explanation:

To translate a figure, we simply move each of its points according to the given translation vector. In this case, the figure is translated 8 units to the right and 5 units down.

The original coordinates of point C are (6,-1). To find the image of C after the translation, we add 8 to the x-coordinate and subtract 5 from the y-coordinate.

The image of C is located at (6+8, -1-5) = (14, -6).