Question

point d is located at (-3, -6) on the coordinate plane. point d is reflected over the x - axis to create point d. point d is then reflected over the y - axis to create point d. what ordered pair describes the location of d?

Explanation:

Step1: Reflect over the x - axis

When reflecting a point \((x,y)\) over the \(x\) - axis, the rule is \((x,y)\to(x, - y)\).
For point \(D(-3,-6)\), after reflection over the \(x\) - axis, \(D'(-3,6)\) (since \(y=-6\) becomes \(y = 6\)).

Step2: Reflect over the y - axis

When reflecting a point \((x,y)\) over the \(y\) - axis, the rule is \((x,y)\to(-x,y)\).
For point \(D'(-3,6)\), after reflection over the \(y\) - axis, \(D''(3,6)\) (since \(x=-3\) becomes \(x = 3\)).

Answer:

\((3,6)\)