Question

help please!

The point (2, –4) is reflected across the line y = –1. What are the coordinates of the image?

A.
(–5, –4)
B.
(–4, 2)
C.
(2, 2)
D.
(2, 4)

Answer 1

What do you think it'll be?

Answer 2

mmm (2,4) maybe?

Answer 3

C.
want explaination??

Answer 4

yea

Answer 5

(2,4) would be the correct answer if we took the mirror image wrt to the line y=0 which is essentially the x-axis.

Answer 6

But here we have to take it wrt the line y=-1

Answer 7

but in this case its wrong right?

Answer 8

yea

Answer 9

distance of point -4 from line(y=-1) is 3 units upward... so the point 3units upward from -1 is 2.. and the x-intercept will remain 2.
so the ans is (2,2)

Answer 10

distance of point -4 from line(y=-1) is 3 units upward... so the point 3units upward from the line(y=-1) is 2.. and the x-intercept will remain 2.
so the ans is (2,2)

Answer 11

So if you see, the point is 3 units from the line vertically.
So the mirror image would be 3 units upward too.


So from the line when y=-1
Three units upward would mean y of the mirror image point = -1 + 3

So the mirror image of the point (2,-4) wrt to line y=-1 is (2,2)

Understood? :)

Answer 12

yea