You reflect triangle pqr, with vertices p(-2, -4), q(-3,-1), and r(-4,-4), across the y-axis to get triangle p’q’r’. what are the coordinates of triangle p’q’r’?

Rule: to reflect any point across the vertical y axis, we simply flip the sign of the x coordinate. If the x coordinate is positive, we flip to negative, and vice versa.

P starts at (-2,-4)
Reflect P over the y axis and we end up with (2,-4). Note how the y coordinate stays the same. The x coordinate flipped from negative to positive.

Repeat for point Q
Q = (-3,-1) becomes Q ' = (3,-1)

and finally for point R
R = (-4,-4) turns into R ' = (4,-4)

So we have these three new points
P'(2,-4)
Q'(3,-1)
R'(4,-4)

Final Choice D

Side note: connect any point with its reflection and the two points form a flat horizontal line. The horizontal line is perpendicular to the mirror line which is the vertical y axis.

You just need to add 32 to 14 and get 46.

The correct answer is -20y