Question

write a rule to describe each transformation.
7)

Explanation:

Step1: Find coordinates of a point

Let's take point \(F\). Assume \(F\) has coordinates \((x,y)\). From the graph, if we consider \(F\) (before transformation) and \(F'\) (after transformation). Suppose \(F=(1,2)\) and \(F'=( - 3,0)\).

Step2: Calculate the change in \(x\) and \(y\) - coordinates

For the \(x\) - coordinate: \(\Delta x=-3 - 1=-4\). For the \(y\) - coordinate: \(\Delta y=0 - 2=-2\).
We can check another point. Let's take \(K\). Assume \(K=( - 1,4)\) and \(K'=( - 5,2)\). For \(x\) - coordinate: \(-5-(-1)=-4\). For \(y\) - coordinate: \(2 - 4=-2\)

Answer:

\((x,y)\to(x - 4,y - 2)\)