Question

1. the point (a, b) is translated 4 units to the right. what are the coordinates of the image of the point?

(a) (a + 4, b)
(b) (a - 4, b)
(c) (a, b - 4)
(d) (a + 4, b - 4)

Explanation:

Step1: Recall translation rule

In a 2 - D coordinate system, when a point \((x,y)\) is translated \(h\) units to the right, the new \(x\) - coordinate is \(x + h\) and the \(y\) - coordinate remains the same. Here, the point \((a,b)\) is translated 4 units to the right. The original \(x\) - coordinate is \(a\) and the original \(y\) - coordinate is \(b\).

Step2: Calculate new coordinates

The new \(x\) - coordinate is \(a+4\) and the \(y\) - coordinate is \(b\). So the new coordinates of the point are \((a + 4,b)\).

Answer:

D. \((a + 4,b)\)