Question

△abc is graphed on the coordinate plane as shown below. jalissa reflects this triangle over the y - axis to create △abc. what are the coordinates of b?

Explanation:

Step1: Find coordinates of B

From the graph, the coordinates of point \( B \) are \( (3, 4) \) (assuming each grid square is 1 unit; we check the x - coordinate (horizontal) and y - coordinate (vertical) of \( B \)).

Step2: Apply reflection over y - axis

The rule for reflecting a point \( (x,y) \) over the \( y \) - axis is \( (x,y)\to(-x,y) \). For point \( B(3,4) \), when we apply the reflection over the \( y \) - axis, we change the sign of the \( x \) - coordinate. So, substituting \( x = 3 \) and \( y = 4 \) into the reflection rule, we get \( B'(- 3,4) \).

Answer:

The coordinates of \( B' \) are \((-3,4)\)