The figure that shows reflection of figure k across the y-axis is figure L.
STEP - BY - STEP EXPLANATION
What to find?
The figure that shows reflection of figure k across the y-axis.
The rule for reflection over the y-axis is given by:
(x, y) ⇒ (-x, y)
Pick any two points on K and locate its coordinate.
(-1, 3)
We need a graph with the point (1, 3)
Also, we have (-1, 4) on K.
We need a graph with point (1, 4).
Observe that graph L has points (1, 3) and (1, 4).
Hence, the figure that shows reflection of figure K across the y-axis is figure L.