Question

I’M FAILING MATH PLEASE HELP YA GIRL OUT!!

Which sequence of steps would transform v to v?

A. reflect across the x-axis; rotate 180 degrees, counterclockwise about the origin

B. reflect across the y-axis; rotate 90 degrees, counterclockwise about the origin

C. reflect across the line y= -x, rotate 90 degrees, counterclockwise about the origin

D. reflect across the line y=x; rotate 180 degrees counterclockwise about the origin

Answer 1

Hello,
Please, see the attached file.
Thanks.

Answer 2

The correct option is C.

Explanation:

From the given graph it is clear that the v passing thought the coordinates (4,1) and v' passing thought the coordinates (4,-1).

It meas the relation between v and v' is

`v(x,y)\rightarrow v'(x,-y)`

In option A,

Reflect across the x-axis; rotate 180 degrees, counterclockwise about the origin, then

`v(x,y)\rightarrow v_1(x,-y)\rightarrow v_2(-x,y)\\eq v'(x,-y)`

Therefore option A is incorrect.

In option B,

Reflect across the y-axis; rotate 90 degrees, counterclockwise about the origin, then

`v(x,y)\rightarrow v_1(-x,y)\rightarrow v_2(-y,-x)\\eq v'(x,-y)`

Therefore option B is incorrect.

In option C,

Reflect across the line y= -x, rotate 90 degrees, counterclockwise about the origin, then

`v(x,y)\rightarrow v_1(-y,-x)\rightarrow v_2(x,-y)=v'(x,-y)`

Therefore option C is correct.

In option D,

Reflect across the line y=x; rotate 180 degrees counterclockwise about the origin, then

`v(x,y)\rightarrow v_1(y,x)\rightarrow v_2(-y,-x)\\eq v'(x,-y)`

Therefore option D is incorrect.