Question

figure abc has been moved 7 spaces left and 2 spaces up. how do you write this translation? (x + 7, y + 2) (x - 7, y - 2) (x - 7, y + 2) (x - 7, y)

Explanation:

Step1: Analyze horizontal movement

Moving left decreases the \(x -\) coordinate. Moving 7 spaces left means \(x\) becomes \(x - 7\).

Step2: Analyze vertical movement

Moving up increases the \(y -\) coordinate. Moving 2 spaces up means \(y\) becomes \(y+2\).

Answer:

\((x - 7,y + 2)\) (the green option)