Question

when a function is reflected in the x - and y - axes, the coordinates of points (x,y) become
a) (-x,-y)
b) (x,y)
c) (x,-y)
d) (-x,y)

Explanation:

Step1: Reflection over x - axis

When a point \((x,y)\) is reflected over the \(x\) - axis, the \(x\) - coordinate remains the same and the \(y\) - coordinate changes its sign. So the point becomes \((x, - y)\).

Step2: Reflection over y - axis

When a point \((x,-y)\) (after reflection over \(x\) - axis) is reflected over the \(y\) - axis, the \(y\) - coordinate remains the same and the \(x\) - coordinate changes its sign. So the point \((x,-y)\) becomes \((-x,-y)\).

Answer:

A. \((-x, - y)\)