Question

for problems 1 - 6, specify a transformation or sequence of transformations that fit with the verbal description or the graphs showing the pre - image and image.
1.
answer:

Explanation:

Step1: Determine the translation rule

First, find the change in \(x\) - coordinate and \(y\) - coordinate for corresponding vertices. Let's assume a vertex \(A\) in the pre - image and \(A'\) in the image.
For example, if we consider the horizontal ( \(x\) ) and vertical ( \(y\) ) movements. Count the number of units moved horizontally and vertically.
Suppose we move \(h\) units in the \(x\) - direction and \(k\) units in the \(y\) - direction.
By observing the grid, we can see that the figure is moved \(14\) units to the right ( \(x\) - direction) and \(2\) units up ( \(y\) - direction).
The translation rule for a point \((x,y)\) is \((x + 14,y+2)\).

Answer:

The transformation is a translation. The translation rule is \((x,y)\to(x + 14,y + 2)\)