Question

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

Explanation:

Step1: Identify the translation rules

The translation is \((x,y)\to(x + 7,y - 5)\), so we add 7 to the \(x\)-coordinate and subtract 5 from the \(y\)-coordinate of point \(Q\).

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

For point \(Q(0,6)\), the \(x\)-coordinate of \(Q'\) is \(0+7 = 7\).

Step3: Calculate the \(y\)-coordinate of \(Q'\)

The \(y\)-coordinate of \(Q'\) is \(6 - 5=1\).

Answer:

\((7,1)\)