Question

question
what is the image of $(-3, 9)$ after a reflection over the $x$-axis?

answer attempt 1 out of 2
$(\square, \square)$ submit answer

Explanation:

Step1: Recall reflection over x - axis rule

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

Step2: Apply the rule to the given point

For the point \((-3,9)\), the \(x\) - coordinate is \(-3\) and the \(y\) - coordinate is \(9\). After reflection over the \(x\) - axis, the \(x\) - coordinate remains \(-3\) and the \(y\) - coordinate becomes \(-9\) (since we change the sign of \(9\)).

Answer:

\((-3, - 9)\)