Question

In the graph, the coordinates of the vertices of pentagon ABCDE are A(–6, –3), B(–4, –1), C(–2, –3), D(–3, –5), and E(–5, –5). If pentagon ABCDE is reflected across the y-axis, find the coordinates of E'.

Answer 1

The coordinates of point E are ( - 5, - 5 ). If pentagon is reflected across the y-axis then new coordinates are:  E` ( 5 , - 5 ) 

Answer 2

Answer
E'(5, -5)

Explanation
In reflection, we have a mirror line along which reflection take place.
In this case, y-axis act like a mirror line. The distance between the object and the mirror line should be same as the distance from the image and the mirror line.

The point E (-5, -5), is 5 units to the left from the mirror line. The coordinate of E after reflection would be 5 units on the right from the mirror line. 
Only the x-coordinate will change from -5 to +5. 

Coordinate of E' are; (5, -5)