Question

if the figure is reflected across the y - axis, what will be the new coordinates of point a?
a -1,4
b 1,5
c -1, - 9
d 1,9

Explanation:

Step1: Recall reflection rule

When a point $(x,y)$ is reflected across the $y -$axis, the rule is $(x,y)\to(-x,y)$.

Step2: Identify original coordinates of point A

Assume the original coordinates of point A are $(4,4)$ (by observing the grid).

Step3: Apply the reflection rule

Using the rule $(x,y)\to(-x,y)$ with $x = 4$ and $y=4$, we get $(-4,4)$.

Answer:

A. $(-4,4)$