Question

the point (-3, 4) is reflected across the x - axis. what are the coordinates of the new point?
a) (-3, 4)
b) (3, 4)
c) (-3, -4)
d) (3, -4)

a) (-3, 4)
b) (3, 4)
c) (-3, -4)
d) (3, -4)

Explanation:

Step1: Recall reflection rule

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

Step2: Apply rule to given point

The given point is $(-3,4)$. After reflection across the $x$-axis, the $x$-coordinate is still $- 3$ and the $y$-coordinate becomes $-4$. So the new point is $(-3,-4)$.

Answer:

C. $(-3,-4)$