Question

which of the following is a result of reflecting a point $(4, -3)$ over the x-axis?
a. $(-4, -3)$
b. $(4, -3)$
c. $(-4, 3)$
d. $(4, 3)$

Explanation:

Step1: Recall x-axis reflection rule

When reflecting a point $(x,y)$ over the x-axis, the x-coordinate stays the same, and the y-coordinate is negated, giving the new point $(x,-y)$.

Step2: Apply rule to given point

For the point $(4,-3)$, substitute $x=4$ and $y=-3$ into the rule:
New x-coordinate: $4$
New y-coordinate: $-(-3)=3$
The reflected point is $(4,3)$.

Answer:

d. (4,3)