Question

square wxyz with vertices w(1,7).
x(6,5), y(4,0), and z(-1,2):
(x,y)→(x - 7,y)
directions: describe the translation that maps each p
rule: (x,y)→(​​​​​​​​​​​​​​​​​​​​​​​​​​​​​​)

Explanation:

Step1: Determine the change in \(x\) - coordinate

Take a point, say \(W\). Original \(x\) - coordinate of \(W\) is \(x = 3\) (assuming from the graph, if we consider the general translation concept). Let \(W'\) has \(x\) - coordinate \(x'=0\). The change in \(x\) is \(x'=x - 3\).
Take another point, say \(X\). Original \(x\) - coordinate of \(X\) is \(x = 6\) (assuming from the graph), and if \(X'\) has \(x\) - coordinate \(x' = 3\), then \(x'=x-3\)

Step2: Determine the change in \(y\) - coordinate

Take point \(W\), original \(y\) - coordinate \(y = 5\) (assuming from the graph), \(W'\) has \(y\) - coordinate \(y'=2\). The change in \(y\) is \(y'=y - 3\).
Take point \(X\), original \(y\) - coordinate \(y = 6\) (assuming from the graph), \(X'\) has \(y\) - coordinate \(y'=3\). Then \(y'=y - 3\)

Answer:

\((x,y)\to(x - 3,y - 3)\)