Question

point c is located at (3, -6) on the coordinate plane. point c is reflected over the y - axis to create point c. what ordered pair describes the location of c? answer attempt 1 out of 2 c (, ) submit answer

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, while the \(y\) - coordinate remains the same. In other words, if we have a point \((x,y)\), after reflection over the \(y\) - axis, the new point \((x',y')\) is given by \(x'=-x\) and \(y' = y\).

Step2: Apply the rule to point \(C(3,-6)\)

For the point \(C(3,-6)\), where \(x = 3\) and \(y=-6\). When we reflect it over the \(y\) - axis, the new \(x\) - coordinate \(x'\) is \(-x=-3\) and the new \(y\) - coordinate \(y'\) is equal to the original \(y\) - coordinate, so \(y'=-6\).

Answer:

\(C'(-3,-6)\)