Question

Draw the image of D(3,-5)D(3,−5)D, left parenthesis, 3, comma, minus, 5, right parenthesis under a reflection over y=x+2y=x+2y, equals, x, plus, 2.

Answer 1

To reflect the point D(3, -5) across y = x + 2, swap the x and y coordinates and subtract 2 from the new y-coordinate. The image of D(3, -5) is (-5, 1).

Step-by-step explanation:

To reflect a point across the line y = x + 2, you can swap the x- and y-coordinates and then subtract 2 from the new y-coordinate. Let's apply this to point D(3, -5):

1. Swap the x and y coordinates: (-5, 3).

2. Subtract 2 from the new y-coordinate: (-5, 3 - 2) = (-5, 1).

So, the image of point D(3, -5) under the reflection over y = x + 2 is (-5, 1).