Question

the question is . Observe and record the coordinates of the transdormation show below. How can this transformation be represented algeraically?the answer choises are A. (-x, -y)B. (-y, -x)C. (x, -y)D. (-x, y)

Answer 1

We need to track the movement of the coordinates.

For coodinates A and A' we have:

A(2,-6)

A'(-2,6)

we can see this indicated in the following picture:

In A, the x coordinate is equal to 2, and in A' the x coordinate has the opposite sign: .2.

The same happens with the y-coordinate. In A is -6 and in A' it has the opposite sign +6.

The same is true for points B and B':

B(7,-6)

B'(-7,6)

Fom B to B prime both the x and y coordinate change signs.

And finally, the same is true for C and C':

C(2,-2)

C'(-2,2)

From C to C' both coordinates x and y change their signs.

The expression that represent this transformation is: A. (-x, -y)

Because the number in the x and y coordinates stays the same, it just changes of sign.