what are the coordinates of point B' after triangle ABC is reflected across the y-acis

Answer:
B'(-3, 2)
Explanation:
In the triangle, point B is at (3, 2).
We want to find the coordinates of B', the image of B when triangle ABC is reflected over the y-axis.
When a point (x,y) is reflected over the y-axis, the transformation rule is:
[tex](x,y)\to(-x,y)[/tex]This means that the x-coordinate changes to the opposite sign while the y-coordinate stays the same.
Applying this rule, we have:
[tex]B(3,2)\to B^{\prime}(-3,2)[/tex]Thus, the coordinates of point B' after triangle ABC is reflected across the y-axis will be B'(-3, 2).