Question

graph the image of n(3, -6) after a rotation 90° counterclockwise around the origin.

Explanation:

Step1: Recall rotation rule

The rule for a 90 - degree counter - clockwise rotation around the origin is $(x,y)\to(-y,x)$.

Step2: Apply the rule to point N

For point $N(3,-6)$, where $x = 3$ and $y=-6$. Substitute into the rule: $(-(-6),3)$.

Step3: Simplify the coordinates

$-(-6)=6$, so the new coordinates are $(6,3)$.

Answer:

The image of $N(3,-6)$ after a 90 - degree counter - clockwise rotation around the origin is the point $(6,3)$. Plot the point $(6,3)$ on the given coordinate grid.