Question

REFLECTIONS!!!! if P=(-2,7), find: Ry=1(P)!!!!!! SECOND TIME POSTING THIS PLEASE HELP!!!​

Answer 1

(-2,-5)

Explanation:

Given that there is a point P with coordinates (-2,7) and it is reflected on a horizontal line y =1

To find the new coordinates of P

When a point is reflected over a horizontal line only vertical distance changes but horizontal distance i.e. from y axis or x coordinate remains the same

So new x coordinate = -2

P has distance of 6 from the line y =1

So P' will also have a distance of 6 on other side of y=1

i.e. y coordinates would be =1-6 =-5

So new coordinate is (-2,-5)

Answer 2

`R_(y=1)(P) = ( - 2, - 5)`

EXPLANATION

The given point is

P(-2,7)

We want find

`R_(y=1)(P)`

Thus, the image of P under a reflection in the line y=1.

The mapping for a reflection in the line y=k is;

`(x,y)\to (x,2k-y)`

This implies that,

`( - 2,7)\to ( - 2,2(1)-7)`

`( - 2,7)\to ( - 2,-5)`