Question

question
point a is located at $(-2, -1)$ on the coordinate plane. point a is reflected over the $y$-axis to create point $a$. what ordered pair describes the location of $a$
answer attempt 1 out of 2
$a$ ( , )
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Explanation:

Step1: Recall reflection over y - axis rule

The rule for reflecting a point \((x,y)\) over the \(y\) - axis is that the \(x\) - coordinate changes its sign and the \(y\) - coordinate remains the same. Mathematically, if we have a point \(P=(x,y)\), after reflection over the \(y\) - axis, the new point \(P'=(-x,y)\).

Step2: Apply the rule to point \(A\)

Given point \(A = (-2,-1)\), here \(x=-2\) and \(y = - 1\). When we reflect over the \(y\) - axis, the new \(x\) - coordinate is \(-x=-(-2)=2\) and the \(y\) - coordinate remains \(-1\). So the coordinates of \(A'\) are \((2,-1)\).

Answer:

\(A'(2, - 1)\)