Question

s is the image of the point s after a reflection. s(3, -1) → s(3, 1) over which axis was point s reflected? x-axis y-axis

Explanation:

Step1: Recall reflection rules

For reflection over the \(x\)-axis: The rule is \((x,y)\to(x, -y)\). For reflection over the \(y\)-axis: The rule is \((x,y)\to(-x, y)\).

Step2: Analyze the given points

Given \(S(3, - 1)\) and \(S'(3,1)\). Let's check the \(x\)-axis reflection rule: If we apply \((x,y)\to(x, -y)\) to \(S(3,-1)\), we get \((3,-(-1))=(3,1)\), which matches \(S'\). For \(y\)-axis reflection, applying \((x,y)\to(-x,y)\) to \(S(3,-1)\) would give \((-3,-1)\), which is not \(S'\).

Answer:

x - axis (The correct option is the one labeled "x - axis")