Question

the coordinates of the image of a point with coordinates (1, 4) is (4, -4). use the information to complete the transformation rule. (x, y) → (x + select choice, y - select choice)

Explanation:

Step1: Find the change in x - coordinate

The original x - coordinate is \(x_1 = 1\) and the new x - coordinate is \(x_2=4\). The change in x is \(x_2 - x_1=4 - 1 = 3\).

Step2: Find the change in y - coordinate

The original y - coordinate is \(y_1 = 4\) and the new y - coordinate is \(y_2=-4\). The change in y is \(y_1 - y_2=4-(-4)=8\).

Answer:

First blank: 3; Second blank: 8