To find the reflection of point A(- x - 8) across the line y = 1, we need to find the distance between the point and the line and then apply the translation (x, y) -> (x + 5, y).
The distance between a point (x, y) and the line y = 1 is given by the equation: distance = |y - 1|
For point A(- x - 8), the distance would be: distance = |- x - 8 - 1| = |- x - 9|
Now, we need to reflect point A across the line y = 1 by taking the same distance on the opposite side of the line. So, the reflected point would be (- x - 8, 1 + |- x - 9|).
Applying the translation (x, y) -> (x + 5, y) to the reflected point, we get the following coordinates:
(- x - 8) -> (- x - 8 + 5) = (- x - 3)
(1 + |- x - 9|) -> (1 + |- x - 9|)
Therefore, the coordinates of the reflected point would be (- x - 3, 1 + |- x - 9|).
Based on the options given, none of them match the coordinates of the reflected point.
A(- x - 8) A( coordinates of ? gde reflection where the translation is (x, y) -> (x + 5, y) , and the line of reflection is y = 1 What are the
(1 point)
A. (2 - 3)
B. (- 3.5)
C. (5, 0)
D. (2.5)
1 answer