Question

question 15 (mandatory) (1 point)
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 the 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 \((x,-y)\) becomes \((-x,-y)\).

Answer:

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