Question

1. translating a shape 5 units down will change its position by:

a. ((x, y - 5))
b. ((x, y + 5))
c. ((x + 5, y))
d. ((x + 5, y + 5))

Explanation:

Step1: Recall translation rules

In coordinate geometry, translating a point \((x, y)\) down by \(n\) units subtracts \(n\) from the \(y\)-coordinate.

Step2: Apply to 5 units down

For a translation of 5 units down, the \(x\)-coordinate remains the same, and the \(y\)-coordinate becomes \(y - 5\). So the new position is \((x, y - 5)\).

Answer:

a. \((x,y - 5)\)