Question

the rule ((x,y)\to(x + 3,y)) is used to transform quadrilateral (jklm), forming its image (jklm). what are the coordinates of (k)?

Explanation:

Step1: Identify coordinates of K

From the graph, the coordinates of point \( K \) are \( (2, 5) \) (assuming the grid and position, we can see the x - coordinate is 2 and y - coordinate is 5).

Step2: Apply the transformation rule

The transformation rule is \( (x,y)\to(x + 3,y) \). For point \( K(2,5) \), we substitute \( x = 2 \) and \( y=5 \) into the rule.
The new x - coordinate is \( x+3=2 + 3=5 \), and the y - coordinate remains the same, \( y = 5 \).

Answer:

The coordinates of \( K' \) are \( (5,5) \)