Question

What are the new coordinates of point K(4, 2) after it's translated using the rule (x, y) → (x + 3, y - 1)?

A) (7, 1)
B) (1, 3)
C) (4, 2)
D) (5, 1)

Answer 1

After applying the translation rule (x, y) → (x + 3, y - 1) to point K(4, 2), the new coordinates are (7, 1), which is option A.

Step-by-step explanation:

The student has asked for the new coordinates of point K(4, 2) after translation by the rule (x, y) → (x + 3, y - 1). To find the new coordinates, simply apply the given translation rule to the original coordinates of point K.

• Translate the x-coordinate: 4 + 3 = 7
• Translate the y-coordinate: 2 - 1 = 1

Therefore, the new coordinates of point K after translation are (7, 1), which corresponds to option A.