Question

point d is located at (3, -4) on the coordinate plane. point d is reflected over the y - axis to create point d. what ordered pair describes the location of d? answer attempt 2 out of 2 d (\square, \square)

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 \((x',y')\) is given by \(x'=-x\) and \(y' = y\).

Step2: Apply the rule to point \(D(3,-4)\)

For point \(D\) with coordinates \((x = 3,y=-4)\), when we reflect it over the \(y\) - axis, the \(x\) - coordinate of the new point \(D'\) is \(x'=-3\) and the \(y\) - coordinate remains \(y'=-4\).

Answer:

\(D'(-3,-4)\)