Question

What are the coordinates of the image of vertex R -3,4 after a reflection across the y-axis? (–4, 3) (4, –3) (–3, –4) (3, 4)

Answer 1

A reflection on the vertical axis is given by the following transformation:

(x, y) -----------------> (-x, y) ----------------> (x ', Y')

Applying the transformation for the point (-3, 4) we have:

(-3, 4) -----------------> (- (- 3), 4) ----------------> (3, 4)

Therefore, the new ordered pair after the reflection on the vertical axis is given by:

(3, 4)

Answer:

the coordinates of the image of vertex R -3.4 after a reflection across the y-axis are:

(3, 4)

Answer 2

The coordinate of the image after being reflected is R(3,4).

When dealing with reflection of a line or shape or a figure in the coordinate plane, especially if it is reflected across the y- axis, you just have to give the opposite of the given (original) x- coordinate in order to give a symmetric figure.