Question

to go from the pre - image △abc to △abc the image, what would be the correct rule to apply? (x,y)→(x - 4,y + 1) (x,y)→(x - 1,y + 4) (x,y)→(x + 5,y - 1) (x,y)→(x + 4,y - 1)

Explanation:

Step1: Observe x - coordinate change

Let's take a point, say point A. Assume A has coordinates \((x_1,y_1)\) and \(A'\) has coordinates \((x_2,y_2)\). By looking at the graph, we can see that the x - coordinate of the points in the image is 4 units more than the x - coordinate of the corresponding points in the pre - image. For example, if we consider the x - coordinates of A and \(A'\), the shift in the x - direction is positive.

Step2: Observe y - coordinate change

The y - coordinate of the points in the image is 1 unit less than the y - coordinate of the corresponding points in the pre - image. For example, for point A, the y - value has decreased by 1.

Answer:

\((x,y)\to(x + 4,y-1)\)