Question

point $q$ is the image of $q(-7, -6)$ under the translation $(x,y)\to(x + 12,y + 8)$. what are the coordinates of $q$? $(\square,\square)$

Explanation:

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

Given the translation \((x,y)\to(x + 12,y + 8)\) and \(x=-7\) for point \(Q\).
The new \(x\) - coordinate is \(x'=-7+12\).

$$x'=-7 + 12=5$$

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

Given \(y = - 6\) for point \(Q\).
The new \(y\) - coordinate is \(y'=-6 + 8\).

$$y'=-6+8 = 2$$

Answer:

\((5,2)\)