Question

question
what is the image of $(-9, -4)$ after a reflection over the $y$-axis?
answer attempt 1 out of 2
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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 \((x,y)\), after reflection over the \(y\) - axis, the new point is \((-x,y)\).

Step2: Apply the rule to the given point

For the point \((-9,-4)\), here \(x=-9\) and \(y = - 4\). When we reflect over the \(y\) - axis, the new \(x\) - coordinate is \(-(-9)=9\) and the \(y\) - coordinate remains \(-4\).

Answer:

\((9,-4)\)