Question

graph the image of g(-5, 4) after a reflection over the y-axis.

Explanation:

Step1: Recall reflection rule over y-axis

For a point \( (x, y) \), reflection over \( y \)-axis gives \( (-x, y) \).

Step2: Apply rule to \( G(-5, 4) \)

Substitute \( x = -5 \), \( y = 4 \): \( (-(-5), 4) = (5, 4) \).

Step3: Locate the image on graph

Find \( x = 5 \), \( y = 4 \) on the grid and mark it.

Answer:

The image of \( G(-5, 4) \) after reflection over the \( y \)-axis is \( (5, 4) \).