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Question
point m is located at (-4, 4) on the coordinate plane. point m is reflected over the y-axis to create point m. point m is then reflected over the x-axis to create point m. what ordered pair describes the location of m?
answer attempt 1 out of 2
m(□, □)
Step1: Reflect over the y - axis
When reflecting a point \((x,y)\) over the \(y\) - axis, the rule is \((x,y)\to(-x,y)\).
For point \(M(-4,4)\), after reflection over the \(y\) - axis, \(M'=(4,4)\).
Step2: Reflect over the x - axis
When reflecting a point \((x,y)\) over the \(x\) - axis, the rule is \((x,y)\to(x, - y)\).
For point \(M'(4,4)\), after reflection over the \(x\) - axis, \(M''=(4,-4)\).
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\((4,-4)\)