Question

which of the following rules would translate δabc 5 units left and 3 units up? (1 point) (x,y)→(x - 5,y + 3) (x,y)→(5x,3y) (x,y)→(x + 3,y - 5)

Explanation:

Step1: Understand horizontal translation

Moving left in the coordinate - plane means subtracting from the x - coordinate. Moving 5 units left means subtracting 5 from the x - coordinate of each point.

Step2: Understand vertical translation

Moving up in the coordinate - plane means adding to the y - coordinate. Moving 3 units up means adding 3 to the y - coordinate of each point.

Step3: Determine the translation rule

For a point (x,y), the rule for translating 5 units left and 3 units up is (x,y)→(x - 5,y + 3).

Answer:

(x,y)→(x - 5,y + 3)