Question

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

Explanation:

Step1: Recall rotation rule

A 270 - degree clockwise rotation around the origin has the rule $(x,y)\to(y, - x)$.

Step2: Apply the rule to point U

For point $U(-10,-1)$, substituting $x=-10$ and $y = - 1$ into the rule, we get $(-1,-(-10))$.

Step3: Simplify the coordinates

$-(-10)=10$, so the new coordinates are $(-1,10)$.

Answer:

The image of point $U(-10,-1)$ after a 270 - degree clockwise rotation around the origin is $(-1,10)$.