Question

when a function is reflected in the (y)-axis, the coordinates of points ((x, y)) become

a) ((-x, y))
b) ((-x, -y))
c) ((x, y))
d) ((x, -y))

Explanation:

Analyze the geometric transformation

Using the Function Transformations knowledge point

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

Verify the coordinate change

Using the Function Transformations knowledge point

$$ \text{Reflection across the } y\text{-axis negates the } x\text{-coordinate while keeping the } y\text{-coordinate unchanged.} $$

Answer:

• A) \((-x, y)\) (Correct answer)
• B) \((-x, -y)\)
• C) \((x, y)\)
• D) \((x, -y)\)