Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

when a function is reflected in the x - axis, the coordinates of points…

Question

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

Explanation:

Step1: Recall reflection rule

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

Step2: Apply the rule

If the original point is \((x,y)\), after reflection over the \(x -\)axis, the new point is \((x,-y)\).

Answer:

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