Question

graph the image of u(-10, -1) after a rotation 270° clockwise around the origin.

Explanation:

Step1: Recall rotation rule

For a \(270^\circ\) clockwise rotation about the origin, the rule is \((x,y)\to(y, -x)\).

Step2: Apply the rule to \(U(-10, -1)\)

Here, \(x = - 10\) and \(y=-1\). Substituting into the rule:
New \(x\)-coordinate is \(y=-1\), new \(y\)-coordinate is \(-x=-(-10) = 10\).
So the image of \(U(-10,-1)\) after \(270^\circ\) clockwise rotation is \((-1,10)\).

Answer:

The image of \(U(-10, -1)\) after a \(270^\circ\) clockwise rotation around the origin is the point \((-1, 10)\). To graph it, plot the point with \(x\)-coordinate \(-1\) and \(y\)-coordinate \(10\) on the coordinate plane.