Question

graph the image of u(7, 9) after a rotation 90° counterclockwise around the origin.

Explanation:

Step1: Recall rotation rule

For a \(90^\circ\) counterclockwise rotation about the origin, the rule is \((x,y)\to(-y,x)\).

Step2: Apply the rule to \(U(7,9)\)

Here, \(x = 7\) and \(y = 9\). Substituting into the rule, we get \((-9,7)\).

Answer:

The image of \(U(7, 9)\) after a \(90^\circ\) counterclockwise rotation around the origin is the point \((-9, 7)\). To graph it, plot the point with \(x\)-coordinate \(-9\) and \(y\)-coordinate \(7\) on the coordinate plane.