Which algebraic rule describes the 180° counter-clockwise rotation about the origin?

Step-by-step explanation:

We are asked to write the algebraic rule that describes the 180° counter-clockwise rotation about the origin.

When we rotate a point 180 degrees about origin the coordinates of point changes their sign.

The point after a rotation of 180 degrees about origin changes to .

The rule for this rotation is:

Therefore, our required expression would be .

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.