Question

A point located at (-5, -6) is reflected over the y-axis. What are the coordinates of the image? (-5, 6) (5, -6) (5, 6) (-6, -5)

Answer 1

The correct answer option is (5, -6).

Explanation:

We are given the following coordinates of a point:

`( - 5 , - 6 )`

If this point is reflected through y axis, what will be the coordinates of its image?

Reflection through y-axis means that the sign of the x coordinate will be changed so we get:

`( - 5 , -6 )`
`\implies` (5, -6)

Answer 2

The image is located at (5,-6)

EXPLANATION

The rule for reflection over the y-axis is to negate the x-coordinates.

This implies that,

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

If the point located at (-5, -6) is reflected over the y-axis, the coordinates of the image is obtained by negating the x-coordinate.

Therefore

`( - 5, - 6)\to (5, - 6)`

The image is located at (5,-6)