Question

Jean transformed a point by using the rule (x,y) (x-6, y+8). The image point is (–4, 1). Which point is the pre-image?

Answer 1

Answer: B, (2, -7).

Step-by-step explanation:  I got the question right on the quiz.

Answer 2

For this case we have the following transformation:
 $(x, y) (x-6, y + 8)$
 Using the transformation we have that the image is:
 $(-4, 1)$
 Therefore, making use of this information, we can find the coordinates of the pre-image
 We have then:
 $x-6 = -4$
 From here, we clear x:
 $x = -4 + 6 x = 2$
 On the other hand we have:
 $y + 8 = 1$
 From here, we clear y:
 $y = 1-8 y = -7$
 The coordinates of the pre-image is:
 $(x, y) = (2, -7)$
 Answer:
 A point that is the pre-image is:
 $(x, y) = (2, -7)$