Question

points reflected over an axis
score 4/10
penalty: 1 off
question
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point e is located at (5, 3) on the coordinate plane. point e is reflected over the y - axis to create point e. point e is then reflected over the x - axis to create point e. what ordered pair describes the location of e?
answer attempt 1 out of 2
e ( , )

Explanation:

Step1: Reflect over y - axis

To reflect a point \((x,y)\) over the \(y\) - axis, we use the rule \((x,y)\to(-x,y)\). For point \(E=(5,3)\), when we reflect it over the \(y\) - axis, the \(x\) - coordinate changes its sign and the \(y\) - coordinate remains the same. So, \(E'=(- 5,3)\).

Step2: Reflect over x - axis

To reflect a point \((x,y)\) over the \(x\) - axis, we use the rule \((x,y)\to(x, - y)\). For point \(E'=(-5,3)\), when we reflect it over the \(x\) - axis, the \(y\) - coordinate changes its sign and the \(x\) - coordinate remains the same. So, \(E''=(-5,-3)\).

Answer:

\((-5,-3)\)