Question

the coordinate grid shows a pentagon. the pentagon is translated 1 unit to the left and 10 units down to create a new pentagon. which rule describes this transformation? (x,y) to (x - 1, y - 10) (x,y) to (x + 1, y - 10) (x,y) to (x - 1, y + 10) (x,y) to (x + 1, y + 10)

Explanation:

Step1: Recall x - coordinate rule for left - right translation

Moving left in the coordinate plane decreases the x - coordinate. Moving 1 unit left means subtracting 1 from the x - coordinate of each point. So, \(x\) becomes \(x - 1\).

Step2: Recall y - coordinate rule for up - down translation

Moving down in the coordinate plane decreases the y - coordinate. Moving 10 units down means subtracting 10 from the y - coordinate of each point. So, \(y\) becomes \(y-10\).

Answer:

A. \((x,y)\) to \((x - 1,y - 10)\)