Question

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 ordered pair describes the location of s?
answer
attempt 1 out of 2
s (
, )

Explanation:

Step1: Reflect over the y - axis

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

Step2: Reflect over the x - axis

When reflecting a point \((x,y)\) over the \(x\) - axis, the rule is \((x,y)\to(x, - y)\). Now, reflecting point \(S'(-1,-5)\) over the \(x\) - axis. Using the rule, for the point \((-1,-5)\), we get \(S''(-1,5)\) since \(y=-5\) and \(-y = 5\).

Answer:

\((-1,5)\)