Question

what are the coordinates of the image of vertex f after a reflection across the line y = -x?
○ (-1, -3)
○ (3, -1)
○ (1, 3)
○ (-3, 1)

Explanation:

Step1: Identify coordinates of F

Vertex F is (1, -3) from the graph.

Step2: Apply reflection rule over y=-x

The rule for reflection over $y=-x$ is $(x, y) \to (-y, -x)$. Substitute $x=1$, $y=-3$: $(-(-3), -1)=(3, -1)$.

Answer:

(3,-1)