Use matrices to determine the vertices of the reflected figure. then graph the image and the pre-image on the same coordinate grid.
triangle xyz with vertices x(2, -9), y(-6, 0) and z(-5, -5), reflected over the y-axis.
a.
b.
c.
d.
(pictures below)

Step-by-step explanation:

Reflection across the y-axis is a left-right reflection that changes only the sign of the x-coordinate. The transformation matrix (as for any rotation and/or reflection) can be 2-dimensional, and can left-multiply the coordinate matrix that has coordinate pairs as column vectors. The transformed coordinates show up as column vectors in the result matrix.

The only graphs showing left-right reflections are those of choices C and D. Only choice C has the points properly plotted on the graph.

answer: the area of the parallelogram below is 42 square meters.

- officialprodixy ☕

the correct answer is the second option