Chapter 14.2A, Problem 13A

a. Conjecture what the image of a point with coordinates $\left(x,y\right)$ will be under each of the transformations in exercise $12$ .

b. Suppose a point Pwith coordinates $\left(x,y\right)$ is reflected in the $x$ -axis and then its image $P^{\prime }$ is reflected in the $y$ -axis to obtain $P^{″}$ . What are the coordinates of $P^{″}$ in terms of $x$ and $y$?