Question

reflections find the coordinates
the point a(5, -3) is reflected over the y-axis. what are the coordinates of the resulting point, a?
image of a coordinate plane with point a plotted
a(-5, -3) a(5, -3)
a(-5, 3) a(5, 3)

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 \(P(x,y)\), after reflection over the \(y\) - axis, the new point \(P'\) has coordinates \((-x,y)\).

Step2: Apply the rule to point \(A(5,-3)\)

For the point \(A(5,-3)\), where \(x = 5\) and \(y=-3\). When we reflect it over the \(y\) - axis, the \(x\) - coordinate becomes \(-x=-5\) and the \(y\) - coordinate remains \(y = - 3\). So the coordinates of \(A'\) are \((-5,-3)\).

Answer:

A'(-5, -3)