Question

question
what is the image of ((-7, -2)) after a reflection over the (y)-axis?

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

Explanation:

Step1: Recall reflection over y - axis rule

The rule for reflecting a point \((x,y)\) over the \(y\) - axis is \((x,y)\to(-x,y)\).

Step2: Apply the rule to the given point

For the point \((-7,-2)\), where \(x = - 7\) and \(y=-2\). When we apply the reflection over the \(y\) - axis rule, we change the sign of \(x\). So, \(-x=-(-7) = 7\) and \(y\) remains \(-2\).

Answer:

\((7,-2)\)