Question

what are the coordinates of the image of vertex r after a reflection across the y-axis? graph shows triangle with vertices r(-3,4), s(-4,-2), t(-1,-4); options: (-4, 3), (-3, -4), (4, -3), (3, 4)

Explanation:

Step1: Identify original coordinates of R

Original R: $(-3, 4)$

Step2: Apply reflection over y-axis rule

Rule: $(x,y) \to (-x,y)$

Step3: Calculate reflected coordinates

New x: $-(-3)=3$, y remains 4. Result: $(3,4)$

Answer:

(3, 4)