Question

point s is located at (1, - 5) on the coordinate plane. point s is reflected over the y - axis to create point s. point s is then reflected over the x - axis to create point s. what are the coordinates of s? answer: ( ) ( )

Explanation:

Step1: Reflect over y - axis

When a point $(x,y)$ is reflected over the y - axis, the transformation rule is $(x,y)\to(-x,y)$. Given point $S=(1, - 5)$, after reflecting over the y - axis, point $S'$ has coordinates $(-1,-5)$.

Step2: Reflect over x - axis

When a point $(x,y)$ is reflected over the x - axis, the transformation rule is $(x,y)\to(x,-y)$. Since $S'=(-1,-5)$, after reflecting $S'$ over the x - axis, point $S''$ has coordinates $(-1,5)$.

Answer:

$(-1,5)$