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a shape is rotated 180 to its origin and then its image s reflected in the y axis describe fully the translation that would have the same result as the two transformation drscribe above

Sagot :

The single transformation that will cause the same effect as that of these two transformation is  the reflection of shape in the x-axis .

(x,y) -----------> (x,−y)

What is Transformation ?

The change done to a shape on a coordinate plane by reflection ,translation and rotation is a called Transformation .

It is given that a shape is rotated to its origin

Then its image is reflected in the y axis.

The single transformation that would have the same result as the two transformations is (x,y) to (x,−y)

reflection of shape in x-axis .

The x stays the same, but the y changes sign.)

The change caused by Rotation by 180° about the origin,

(x,y) ------->  (−x,−y)

The change caused when reflected in the y-axis,

(x,y) --------> (−x,y)

Therefore the single transformation that will cause the same effect as that of these two transformation is  the reflection of shape in the x-axis .

(x,y) -----------> (x,−y)

To know more about Transformation

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