lucy304
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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)

Respuesta :

ANSWER

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,

[tex](x,y)\to (-x,y)[/tex]

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

[tex]( - 5, - 6)\to (5, - 6)[/tex]

The image is located at (5,-6)

Answer:

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

Step-by-step explanation:

We are given the following coordinates of a point:

[tex] ( - 5 , - 6 ) [/tex]

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:

[tex] ( - 5 , -6 ) [/tex] [tex] \implies [/tex] (5, -6)

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