Question

point $q$ is the image of $q(0,6)$ under the translation $(x,y)\to(x + 7,y - 5)$. what are the coordinates of $q$? $(square,square)$

Explanation:

Step1: Calculate the x - coordinate of \(Q'\)

For the x - coordinate, use the rule \(x\to x + 7\). Given \(x = 0\), then \(x'=0 + 7\).
\(x'=7\)

Step2: Calculate the y - coordinate of \(Q'\)

For the y - coordinate, use the rule \(y\to y - 5\). Given \(y = 6\), then \(y'=6-5\).
\(y' = 1\)

Answer:

\((7,1)\)