Question

The figures below represents which type of transformation?toReflection across the y-axis. (x,y) --> (x,y)Translation up 10 units. (x, y) --> (x, y=10)Rotation 180°. (xy) ->-*-)Reflection across the x-axis. (x, y) --> (X, -y)

Answer 1

For this problem we need to identify the correct transformation between the two figures given.

Let's analyze one by one the options:

Reflection across the y-axis. (x,y) --> (-x,y)

That's False since we have the same coordinates for both figures and not makes sense.

Translation up 10 units. (x, y) --> (x, y=10)

That's False since if we select any y coordinate for any point and we see the corresponding pair we can see that the distance between both numbers is not 10

Rotation 180°. (xy) ->(-x,-y)

False again we need to satisfy the transformation for all the points of both figures and we can see that for A and A' that's not true.

Reflection across the x-axis. (x, y) --> (x, -y). CORRECT

That represent rhe correct answer since for each coordinate pair we can see that we satisfy the conditions given by the linear transformation (x, y) --> (x, -y)